Question

Find the area of a right – angled triangle, the radius of whose, circumference measures 8 cm and the altitude drawn to the hypotenuse measures 6 cm.

Answer 1

In a right angled triangle, the center of the circumference is the midpoint of the hypotenuse. 

Hypotenuse = 2 x (radius of circumference) for a right triangle

= 2 x 8

= 16 cm

So, hypotenuse = 16 cm 

Now, base = 16 cm and height = 6 cm

Area of the triangle = 1/2 x  base x height

= 1/2 x 16 x 6

= 48 sq cm.