# Triangles

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• Q1

Is it possible to have a triangle with angles 34°, 56° and 100°?

Marks:1
##### Answer:

No, a triangle is not possible because the sum of all
the three angles (34°+56°+100°=190°) is greater than 180°.

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• Q2

Is it possible to have a triangle with sides 6 cm, 15 cm and 7 cm?

Marks:1
##### Answer:

No, a triangle is not possible because the sum of two sides (6 cm and 7 cm) is less than the third side (15 cm).

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• Q3

What is the relation between the exterior angle and interior angles of a triangle?

Marks:1
##### Answer:

The exterior angle of a triangle is equal to the sum of interior opposite angles of a triangle.

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• Q4

Find the value of x in the figure given below.

Marks:1
##### Answer:

The exterior angle of a triangle is equal to the sum of its two interior opposite angles.
Therefore,
x = 45° + 60° = 105°

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• Q5

State the types of triangles on the basis of sides.

Marks:1
##### Answer:

The types of triangles on the basis of sides are:
a) Equilateral Triangle
b) Isosceles Triangle
c) Scalene Triangle

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