Question

Triangle has a leg that Triangle has a leg that measures 20 units and a hyptenuse that measures 25 units what is the length of the third side

Answer 1

15

Explanation:

Hypotenuse = 25

Opposite=20

Adjacent =?

Use Pythagoras Theorem :

`{hypotenuse}^(2) = {opposite}^(2) + {adjacent}^(2)`

Input values

`{25}^(2) = {20}^(2) + {x}^(2) \\ 625 = 400 + {x}^(2) \\ 625 - 400 = {x}^(2) \\ 225 = {x}^(2)`

Square root both sides

`√(225) = \sqrt{ {x}^(2) } \\ 15 = x \\ x = 15`