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

$H ^{2} = P^{2} + B ^{2}$

$( \sqrt{65} ) ^{2} = P ^{2} + 4 ^{2}$

$65 = P^{2} + 16$

$P^{2} = 65 - 16$

$P^{2} = 49$

$P= \sqrt{49}$

$P = 7$

• Thus, The length of Perpendicular is 7..