Question

The hypotenuse of a right-angled triangle is 65 cm and its base is 60 cm. Find the length of perpendicular and the area of the triangle.

Answer 1

Given.

Hypotenuse = 65 cm

Base = 60 cm

According to Pythagoras theorem,

$(\text{Hypotenuse}{)}^2=(\text{Base}{)}^2+(\text{Altitude}{)}^2{65}^2={60}^2+(\text{Altitude}{)}^2(\text{Altitude}{)}^2={65}^2-{60}^2\text{Altitude}=\sqrt{4225-3600}=\sqrt{625}=25cm$

Area of triangle = $\frac{1}{2}\times base\times height=\frac{1}{2}\times 60\times 25=750c{m}^2$