Question

3.The legs of a right triangle are equal. Given the length of the legs, find the length of the hypotenuse. Round

to the nearest tenth.​

Answer 1

1.41a

Explanation:

Let ABC is a right triangle with equal legs AB =BC.

Hence, ∠B is 90° and CA is the hypotenuse.

Now, applying Pythagoras Theorem, we can write

CA² = AB² + BC²

Let us assume that each legs AB = BC = a.

Therefore, CA² = a² +a² = 2a²

⇒Hypotenuse or CA = a√2 = 1.41a { Round to the nearest tenth} (Answer)