Question

Find the third side in simplest radical form

Answer 1

`2 √(71) \: units`

Explanation:

Given is a right angled triangle in which third side is the hypotenuse.

Therefore, by Pythagoras theorem:

`thid \: side = \sqrt{ {15}^(2) + ( √(59) )^(2) } \\ \\ = √(225 + 59) \\ \\ = √(284) \\ \\ = \sqrt{ {2}^(2) * 71 } \\ \\ = 2 √(71) \: units`