Question

Calculate the area of a right-angled triangle whose hypotenuse is 65cm and one side is 16cm.

Answer 1

Hypotenuse = 65cm
One side = 16cm
Let the other side be of length x cm
By Pythagoras theorem,
(65cm)² = (16cm)² + (x cm)²
(x cm)² = 4225cm² - 256cm²
= 3969cm²
= (63cm)²
⇒ x = 63cm
Area of the triangle
= `(1)/(2) xx ("Base" xx "Height")`

= `(1)/(2) xx 16"cm" xx 63"cm"`
= 504cm².