Question

if the length of one leg of a right triangle is 16 and the length of the other leg is odd, what are the lengths of all the sides of the triangle? other leg = hypotenuse =

Answer 1

original leg: 16
other leg: 63
hypotenuse: 65

Answer 2

One side is 16,other side is 63 and hypotenuse is 65.

Explanation:

We have been given length of one leg of the triangle which is 16

And other length of the leg is odd

Let us take other leg length be an odd number say

Using Pythagoras theorem in right angle triangle which is:

`hypotenuse^2=leg^2+leg^2`

On substituting the values in the formula

And consider the other leg so that it will form a perfect square and we get natural number for hypotenuse.

Let the other leg be 63 on substituting the values in the formula we get:

`hypotenuse^2=16^2+63^2`

`hypotenuse^2=256+3969`

`hypotenuse^2=4225`

`\Rightarrow hypotenuse=65`

Therefore, one side is 16 other side is 63 and hypotenuse is 65.