Question

Find the length of the third side. If necessary, write in simplistic radical form.

Answer 1

Given:-

• Hypotenuse = √65
• Base = 4
• Perpendicular = ?

Solution:-

By Pythagoras theorem

`H ^(2) = P^(2) + B ^(2)`

`( √(65) ) ^(2) = P ^(2) + 4 ^(2)`

`65 = P^(2) + 16`

`P^(2) = 65 - 16`

`P^(2) = 49`

`P= √(49)`

`P = 7`

• Thus, The length of Perpendicular is 7..