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Question: Is the ratio of the length of legs same as the ratio of their opposite angles in an isosceles right triangle?


A ) No
B ) Yes

Steps to derive

1 In an isosceles right triangle, the angles are 45o - 45o - 90o.

2 The side opposite to right angle is hypotenuse and the remaining sides are legs.

3 In a 45o - 45o - 90o triangle, the sides opposite to 45o angles are the legs.

4 In a 45o - 45o - 90o triangle, the two legs are same in length.

5 The ratio of the legs = 1 : 1

6 Opposite angles of the legs are 45o and 45o.

7 The ratio of the angles = 45 : 45 = 1 : 1

8 In an isosceles right triangle, the ratio of the length of legs is same as the ratio of their opposite angles.



Hence the right answer is Option B

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