
CBSE Important Questions›

CBSE Previous Year Question Papers›
 CBSE Previous Year Question Papers
 CBSE Previous Year Question Papers Class 12
 CBSE Previous Year Question Papers Class 10

CBSE Revision Notes›

CBSE Syllabus›

CBSE Extra Questions›

CBSE Sample Papers›
 CBSE Sample Papers
 CBSE Sample Question Papers For Class 5
 CBSE Sample Question Papers For Class 4
 CBSE Sample Question Papers For Class 3
 CBSE Sample Question Papers For Class 2
 CBSE Sample Question Papers For Class 1
 CBSE Sample Question Papers For Class 12
 CBSE Sample Question Papers For Class 11
 CBSE Sample Question Papers For Class 10
 CBSE Sample Question Papers For Class 9
 CBSE Sample Question Papers For Class 8
 CBSE Sample Question Papers For Class 7
 CBSE Sample Question Papers For Class 6

ISC & ICSE Syllabus›

ICSE Question Paper›
 ICSE Question Paper
 ISC Class 12 Question Paper
 ICSE Class 10 Question Paper

ICSE Sample Question Papers›
 ICSE Sample Question Papers
 ISC Sample Question Papers For Class 12
 ISC Sample Question Papers For Class 11
 ICSE Sample Question Papers For Class 10
 ICSE Sample Question Papers For Class 9
 ICSE Sample Question Papers For Class 8
 ICSE Sample Question Papers For Class 7
 ICSE Sample Question Papers For Class 6

ICSE Revision Notes›
 ICSE Revision Notes
 ICSE Class 9 Revision Notes
 ICSE Class 10 Revision Notes

ICSE Important Questions›

Maharashtra board›

RajasthanBoard›
 RajasthanBoard

Andhrapradesh Board›
 Andhrapradesh Board
 AP Board Sample Question Paper
 AP Board syllabus
 AP Board Previous Year Question Paper

Telangana Board›

Tamilnadu Board›

NCERT Solutions Class 12›
 NCERT Solutions Class 12
 NCERT Solutions Class 12 Economics
 NCERT Solutions Class 12 English
 NCERT Solutions Class 12 Hindi
 NCERT Solutions Class 12 Maths
 NCERT Solutions Class 12 Physics
 NCERT Solutions Class 12 Accountancy
 NCERT Solutions Class 12 Biology
 NCERT Solutions Class 12 Chemistry
 NCERT Solutions Class 12 Commerce

NCERT Solutions Class 10›

NCERT Solutions Class 11›
 NCERT Solutions Class 11
 NCERT Solutions Class 11 Statistics
 NCERT Solutions Class 11 Accountancy
 NCERT Solutions Class 11 Biology
 NCERT Solutions Class 11 Chemistry
 NCERT Solutions Class 11 Commerce
 NCERT Solutions Class 11 English
 NCERT Solutions Class 11 Hindi
 NCERT Solutions Class 11 Maths
 NCERT Solutions Class 11 Physics

NCERT Solutions Class 9›

NCERT Solutions Class 8›

NCERT Solutions Class 7›

NCERT Solutions Class 6›

NCERT Solutions Class 5›
 NCERT Solutions Class 5
 NCERT Solutions Class 5 EVS
 NCERT Solutions Class 5 English
 NCERT Solutions Class 5 Maths

NCERT Solutions Class 4›

NCERT Solutions Class 3›

NCERT Solutions Class 2›
 NCERT Solutions Class 2
 NCERT Solutions Class 2 Hindi
 NCERT Solutions Class 2 Maths
 NCERT Solutions Class 2 English

NCERT Solutions Class 1›
 NCERT Solutions Class 1
 NCERT Solutions Class 1 English
 NCERT Solutions Class 1 Hindi
 NCERT Solutions Class 1 Maths

JEE Main Question Papers›

JEE Main Syllabus›
 JEE Main Syllabus
 JEE Main Chemistry Syllabus
 JEE Main Maths Syllabus
 JEE Main Physics Syllabus

JEE Main Questions›
 JEE Main Questions
 JEE Main Maths Questions
 JEE Main Physics Questions
 JEE Main Chemistry Questions

JEE Main Mock Test›
 JEE Main Mock Test

JEE Main Revision Notes›
 JEE Main Revision Notes

JEE Main Sample Papers›
 JEE Main Sample Papers

JEE Advanced Question Papers›

JEE Advanced Syllabus›
 JEE Advanced Syllabus

JEE Advanced Mock Test›
 JEE Advanced Mock Test

JEE Advanced Questions›
 JEE Advanced Questions
 JEE Advanced Chemistry Questions
 JEE Advanced Maths Questions
 JEE Advanced Physics Questions

JEE Advanced Sample Papers›
 JEE Advanced Sample Papers

NEET Eligibility Criteria›
 NEET Eligibility Criteria

NEET Question Papers›

NEET Sample Papers›
 NEET Sample Papers

NEET Syllabus›

NEET Mock Test›
 NEET Mock Test

NCERT Books Class 9›
 NCERT Books Class 9

NCERT Books Class 8›
 NCERT Books Class 8

NCERT Books Class 7›
 NCERT Books Class 7

NCERT Books Class 6›
 NCERT Books Class 6

NCERT Books Class 5›
 NCERT Books Class 5

NCERT Books Class 4›
 NCERT Books Class 4

NCERT Books Class 3›
 NCERT Books Class 3

NCERT Books Class 2›
 NCERT Books Class 2

NCERT Books Class 1›
 NCERT Books Class 1

NCERT Books Class 12›
 NCERT Books Class 12

NCERT Books Class 11›
 NCERT Books Class 11

NCERT Books Class 10›
 NCERT Books Class 10

Chemistry Full Forms›
 Chemistry Full Forms

Biology Full Forms›
 Biology Full Forms

Physics Full Forms›
 Physics Full Forms

Educational Full Form›
 Educational Full Form

Examination Full Forms›
 Examination Full Forms

Algebra Formulas›
 Algebra Formulas

Chemistry Formulas›
 Chemistry Formulas

Geometry Formulas›
 Geometry Formulas

Math Formulas›
 Math Formulas

Physics Formulas›
 Physics Formulas

Trigonometry Formulas›
 Trigonometry Formulas

CUET Admit Card›
 CUET Admit Card

CUET Application Form›
 CUET Application Form

CUET Counselling›
 CUET Counselling

CUET Cutoff›
 CUET Cutoff

CUET Previous Year Question Papers›
 CUET Previous Year Question Papers

CUET Results›
 CUET Results

CUET Sample Papers›
 CUET Sample Papers

CUET Syllabus›
 CUET Syllabus

CUET Eligibility Criteria›
 CUET Eligibility Criteria

CUET Exam Centers›
 CUET Exam Centers

CUET Exam Dates›
 CUET Exam Dates

CUET Exam Pattern›
 CUET Exam Pattern
Isosceles Trapezoid Formula
A trapezoid with congruent base angles and congruent nonparallel sides is known as an Isosceles Trapezoid to which the Isosceles Trapezoid Formula pertains. A quadrilateral with just one of its sides parallel is called a trapezoid. Students can distinguish an Isosceles Trapezoid Formula from other quadrilaterals owing to its numerous intriguing characteristics. They can go indepth about the Isosceles Trapezoid Formula on the Extramarks website and mobile application.
Isosceles Trapezoid Definition
A trapezoid that has nonparallel sides and base angles of the same size is said to be isosceles. In other terms, a trapezoid is an isosceles trapezoid if its two opposing sides (or bases) are parallel and its two nonparallel sides are of equal length. Students can look at the illustration accompanying Isosceles Trapezoid Formula on the Extramarks website and mobile application, where the bases of the trapezoid, sides a, and b, are opposite each other and sides c and d are of equal length.
Properties of Isosceles Trapezoid
The characteristics of an Isosceles Trapezoid Formula are as follows:
 It has a symmetry axis. Isosceles Trapezoid Formula only has one line of symmetry connecting the middle of the parallel sides and no rotational symmetry.
 The base sides are the only pair of sides that are parallel. (In the figure above, AB II DC)
 Other than the base, the remaining sides are all nonparallel and equal in length. (In the picture shown, c = d)
 The length of the diagonals is constant. (AC = BD)
 The same holds true for the base angles. (∠D = ∠C, ∠A=∠B)
 The sum of opposite angles is 180° or supplementary. (A + C and B + D both equal 180 degrees)
 The parallel sides’ midpoints are connected by a line segment that is perpendicular to the bases. (PQ ⊥ DC)
Isosceles Trapezoid Formula
The formulas to determine the Isosceles Trapezoid Formula area and perimeter are listed below:
 Isosceles Trapezoid Formula area
The base sides or parallel sides must be added, divided by 2, and the result multiplied by the height to determine the isosceles trapezoid’s area.
 (Sum of Parallel Sides 2) h = Area of Isosceles Trapezoid
 Trapezoidal isosceles’ perimeter
Students must add each side of the isosceles trapezoid in order to get its perimeter.
 Isosceles Trapezoid perimeter equals the sum of all sides
Area of isosceles trapezoid
One set of nonparallel sides of an isosceles trapezoid is congruent. Using the equation A + B over two times h, where A and B are the bases and h is the perpendicular height, students can calculate the area of the trapezoid.
A trapezoid that has nonparallel sides and base angles of the same size is said to be isosceles. In other terms, a trapezoid is an isosceles trapezoid if its two opposing sides (or bases) are parallel and its two nonparallel sides are of equal length.
A trapezoid with congruent base angles and congruent nonparallel sides is known as an Isosceles Trapezoid Formula. A quadrilateral with just one of its sides parallel is called a trapezoid. Owing to its remarkable characteristics, students can distinguish an Isosceles Trapezoid to which the Isosceles Trapezoid Formula pertains from other quadrilaterals.
The base sides or parallel sides must be added, divided by 2, and the result multiplied by the height to determine the isosceles trapezoid’s area.
(Sum of Parallel Sides 2) h = Area of Isosceles Trapezoid Formula
Isosceles Trapezoid Formula perimeter
In order to acquire the perimeter of an Isosceles Trapezoid, students must add each side of the isosceles trapezoid.
According to the Isosceles Trapezoid Formula, the perimeter of an Isosceles Trapezoid equals the sum of all sides.
Examples on Isosceles Trapezoid
 Example 1: Assuming that the isosceles trapezoid has an area of 128 inches2 and bases that are 12 inches and 20 inches long, determine its height.
Solution: Given an area of 128 inches square and bases of 12 and 20 inches, one can calculate the area of an isosceles trapezoid as follows: 128 = [(12 + 20) 2]. Height is 128/16, or 8 inches.
 Example 2: Calculate the area of an isosceles trapezoid with a height of 4 inches and bases of 3 inches and 5 inches.
Solution: Given height, the bases of an isosceles trapezoid are 3 inches and 5 inches, and its height is 4 inches.
Area = [(3 + 5) ÷ 2] 4 Square Inches Equals 16 inches2
 Example 3: Assuming an isosceles trapezoid has bases of 20 and 25 inches and nonparallel sides of 30 inches each, calculate its perimeter.
Solution: The sum of all the sides of an isosceles trapezoid equals the perimeter of the trapezoid.
An isosceles trapezoid’s perimeter is equal to 105 inches (20 + 25 + 30 + 30).
Practice Questions on Isosceles Trapezoid
Q1. Which of the following describes a trapezoid’s characteristics?
Options
A. The top and bottom bases are parallel to one another.
B. The top and bottom bases are parallel to one another.
C. Congruent angles can be found on both sides of the base.
D. Congruent angles can be found on both sides of the base.
Answer: C
Q2. If the isosceles trapezoid’s base angle is 30 degrees. Try and find the other Base Angle.
Answer: The base angles of an isosceles trapezoid are equal, therefore if one base angle is 30°, the other base angle will also be 30° because of this feature.
FAQs (Frequently Asked Questions)
1. What is an Isosceles Trapezoid?
A form of trapezoid known as an isosceles trapezoid has nonparallel sides that are equal to one another. An isosceles trapezoid is a particular kind of quadrilateral in which one set of opposing sides is divided by the symmetry axis. An isosceles trapezoid has equalsized legs and bases that are parallel to one another.
2. What qualities characterize an Isosceles Trapezoid?
A foursided isosceles trapezoid has four sides. The other two sides are equal in length but not parallel to one another, whereas the two opposing sides (bases) are parallel to one another.
3. What Distinguishes an Isosceles Trapezoid from a Trapezoid?
A trapezoid has differentlength sides and incongruent diagonals, whereas an isosceles trapezoid has nonparallel sides that are equal, base angles that are equal, congruent diagonals, and opposite angles that are supplementary.
4. What is the formula for an isosceles trapezoid's perimeter?
An isosceles trapezoid’s perimeter can be calculated using the following formula: The perimeter of an isosceles trapezoid equals the sum of its sides.