Question

The hypotenuse of a right triangle is 17. The lengths of the two legs are whole numbers. What are they?

Answer 1

According to the Pythagorean theorem:
17² = a² + b²
and a, b ∈ N
289 = a² + b²
289 = 225 + 64
289 = 15² + 8²
Answer:
The lengths of the two legs are a = 15 and b = 8.

Answer 2

15 and 8 will be the two legs

Explanation:

we have been given with hypotenuse of a right angle triangle which is 17

And by pythagoras theorem

`c^2=a^2+b^2`

C is hypotenuse is one side and b is the other side.

we have given c which is 17

We have to find two numbers whose sum of squares is 289

289=225+64

So, the number would be 15 and 8

because square of 15 is 225 and square of 8 is 64

Hence, will satisfy the condition of right angle triangle

`17^2=15^2+8^2`