Question

Show that the following points form a right angled triangle.

(5, 9), (5, 16) and (29, 9)

Answer 1

Given,

$A(5,9),B(5,16),C(29,9)$

$AB=\sqrt{7^2}$

$BC=\sqrt{{24}^2+7^2}$

$AC=\sqrt{{24}^2}$

$\because A{B}^2+A{C}^2=A{C}^2$

Hence it is Right angled $\Delta$