Question

Construct isosceles triangle with sides $6cm,6cm,8cm$. Construct circumcircle of it. Then the measure of circumradius is :

• A. $3$
• B. $3.6$
• C. $2.4$
• D. $5.4$

Answer 1

The correct option is D $5.4$

$\Rightarrow$ Draw a line segment $AB=8cm$

$\Rightarrow$ Take $A$ and $B$ as a center with radius $6cm$ and draw arcs to meet at point $C$.

$\Rightarrow$ Join $AC$ and $BC$.

$\Rightarrow$ Draw a bisector line on sides on $AB,BC$ and $AC$ meeting at point $O$.

$\Rightarrow$ Take $O$ as center with radius equal to $OA$ and draw a circle inscribing $△ABC$.

$\Rightarrow$ We have to find radius of circumcircle.

$\Rightarrow$ The measure of circumradius is $OA=OB=OC=5.4cm$