Question

Find the length of the third side of a right triangle with a hypotenuse of 17 and a leg of 10.

Answer 1

You need to use the Pythagorean theorem.

`{a}^(2) + {b}^(2) = {c}^(2)`
The hypotenuse is "c" and each leg is either "a" or "b".

`{10}^(2) + { x}^(2) = {17}^(2)`

`100 + {x}^(2) = 289 \\ {x}^(2) = 189 \\ x = 13.7477270849`