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

Given: radius = 8 cm

Height = 6 cm

Area = ?

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

Hypotenuse `2xx`(radius of circumference) for a right triangle 

=`2xx8` 

=`16cm` 

So, hypotenuse = 16 cm

Now, base = 16 cm and height = 6 cm 

Area of the triangle=`1/2xxbasexxheight` 

=`1/2xx16xx6` 

=`48 cm^2`