Question

In a right angled triangle, if base and perpendicular are 5 cm and 12 cm respectively. Find the radius of the circumcircle.

• A. $6.5cm$
• B. $12cm$
• C. $5cm$
• D. $7.3cm$

Answer 1

The correct option is A $6.5cm$

In a right angled triangle, radius of the circumcircle is equal to half of the hypotenuse.
So, first we have to find hypotenuse of this right angle triangle.
As we know by pythagoras theorem
$(hypotenuse{)}^2=(base{)}^2+(perpendicular{)}^2=(5{)}^2+(12{)}^2=169=(13{)}^2$
$⟹hypotenuse=13cm$
Therefore, radius of the circumcircle $\frac{13cm}{2}=6.5cm$.