Question

Find the missing side of a right triangle with leg length 5 yards and hypotenuse 13 yards.

Answer 1

`answer =12 \: yards \\ solution \\ hypotenuse(h) = 13 \: yards \\ perpendicular(p) = 5 \: yards \\ base(b) = </em></strong><strong><em>?</em></strong><strong><em>\\ using \: pythagorus \: theorem \\ {h}^(2) = {p}^(2) + {b}^(2) \\ {b}^(2) = {h}^(2) - {p}^(2) \\ {b}^(2) = {13}^(2) - {5}^(2) \\ {b}^(2) = 169 - 25 \\ {b}^(2) = 144 \\ b = √(144 ) \\ b = \sqrt{ {12}^(2) } \\ b = 12 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment`

Answer 2

Explanation:

Use Pythagorean theorem

let the missing side be x

5² +x² = 13²

25 + x² = 169

x² = 169 - 25

x² = 144

x =√144

x = 12 yards