Question

What is the area of a right angled triangle if the radius of its circumcircle is 3 cm and altitude drawn to the hypotenuse is 2 cm?

• A. $4\sqrt{3}c{m}^2$
• B. 6 $c{m}^2$
• C. 7 $c{m}^2$
• D. 5 cm2cm2

Answer 1

The correct option is B 6 $c{m}^2$

In the case of a right triangle, the hypotenuse is a diameter of the circumcircle, and its center is exactly at the midpoint of the hypotenuse.
As radius of its circumcircle is 3 cm,
so AC( hyhypotenuse)=3*2=6cm.
BD=2cm
Area of triangle ABC=1/2* hyhypotenuse AC* BD
$A=\frac{1}{2}\ast 6\ast 2=6$
Area =6cm^2
Answer (B) 6$c{m}^2$