Pythagoras Theorem and its Applications
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Q1
In the given figure, the value x is
Marks:1View AnswerAnswer:
10
Explanation:
In the given figure of right-angled triangle, we have
YZ2 = YX2 + XZ2 [By Pythagoras theorem]
x2 = 62 + 82
x = 
36 + 64 = 100
x = 10 -
Q2
In right angled triangle PQR, which of the following is true?
Marks:1View AnswerAnswer:
m2 = l2 + n2
Explanation:
According to the Pythagoras theorem, we have
(Hypotenuse)2 = (Altitude)2 + (Base)2Therefore, the property, which holds true for given right angled triangle, will be
m2 = l2 + n2 -
Q3
In a right angled triangle, the hypotenuse is
Marks:1View AnswerAnswer:
the longest side.
Explanation:
Since, opposite side of greater angle is greater in a triangle. Since hypotenuse is opposite side of right angle in triangle so it is the longest side.
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Q4
ABC is a right angled triangle in which 
A = 90° and
AB = AC. Find
B and C.Marks:1View AnswerAnswer:
45°, 45°
Explanation:
In
ABC, A = 90° and AB = AC Then B = CAccording to angle sum property,
A + B + C = 180°90° +
B + C = 180°
90° + 2 B = 180°
2 B = 180° - 90°
= 90°
B = C = 45° -
Q5
In a right angled isosceles triangle shown below, what is the value of angle ACO.
Marks:1View AnswerAnswer:
135o
Explanation:
Since, it is an Isosceles right angle triangle, so the values of angles other than 90o are 45o each. And angle ACO and angle ACB are forming a linear pair, which means their sum will be 180o and hence the value of angle ACO is 135o.
