Question

Construct an isoceles triangle PQR where PQ=PR and angle Q =50°,QR =7 cm. Also draw the circumcircle

Answer 1

this is the answer of your question

Answer 2

Thus, $\triangle PQR$ is the required triangle and circumcircle as shown in figure.

Step-by-step explanation:

Given,

Construct an isosceles  $\triangle PQR$ where $PQ=PR$ , $\angle Q=50$°and $QR=7cm$

As for given data,

$\angle R=50$°  (∵$PQ=PR$ )

Following steps:

• Draw a line $QR=7cm$
• At both point $Q$ and $R$, draw an angle $50$ by using protector.
• Both angle line cuts a point $P$ as shown in figure.
• Now, $\triangle PQR$ is the required triangle.
• Bisect all three angle of $\triangle PQR$
• All bisecting line meet a point $O$
• Take $OP$ as a radius, draw a circle which meets other two point $Q$ and $R$

Now, $\triangle PQR$ is the required triangle and circumcircle as shown in figure.