Question

Find the area of a right triangle, if the radius of its circumcircle is $2.5cm$ and the altitude drawn to the hypotenuse is $2cm$ long.

Answer 1

R.E.F image

Given radius of circumcircle of right triangle = 2.5 cm

In right triangle,the hypotenuse is the diameter of

the circumcircle and its center is the midpoint

of the hypotenuse.

$\therefore$ hypotenuse $=2.\left(2.5\right)=5cm$

the altitude drawn to the hypotenuse = 2 cm

$\therefore$ Area of the right triangle $=\frac{1}{2}\times b\times h$

$=\frac{1}{2}\times 5\times 2$

$=5c{m}^2$