Question

For the following right triangle, find the side length x.

Answer 1

17

Explanation:

We can use the pythogorean theorem which is,

`{a}^(2) + {b}^(2) = {c}^(2)`

Where c = Hypotenuse

b and a = Legs of the triangle

We have to find the hypotenuse. So let's keep the value of it as x.

we can form an algebraic equation to solve for x

`{15}^(2) + {8}^(2) = {x}^(2) \\ 225 + 64 = {x}^(2) \\ 289 = {x}^(2) \\ x = √(289) \\ x = 17`