Question

I need help to solve this problem pls

Answer 1

6,8

Explanation:

Using Pythagoras's Theorem, we can find out that:

`x^2 + (x+2)^2 = 10^2`

This simplifies to:

`x^2 + x^2 + 4x +4 = 100`

`2x^2 + 4x - 96 =0`

You can simplify this further by dividing by 2:

`x^2 +2x - 48` = 0

(x+8)(x-6) = 0

x = 6 or x = -8

Since it's a triangle, we can't have negative sides so x = 6.

The shorter leg is 6, the longer leg is 8.