Question

In triangle PQR,PQ=5cm,QR=6cm and RP=8.2cm Draw triangle and construct circumcircles

Answer 1

Answer:

Construct the triangle using a ruler and a compass. It will be a right angled triangle

Answer 2

Construction of triangle PQR and its circumcircle:

• Draw a line segment RP = 8.2 cm.
• With P as center and a radius of 5 cm, draw an arc.
• With Q as center and a radius of 6 cm, draw an arc cutting the previous arc.
• Name the point of intersection of these two arcs as Q.
• PQR is the required triangle.
• With R as center and a radius of more than half of PR, draw arcs on either side of PR.
• With the same radius and P as center cut these arcs.
• Join the points of intersection of these arcs.
• Repeat the same steps for side PQ.
• The perpendicular bisectors of these two sides meet at a point O.
• With O as center and OR as center, draw a circle passing through P, Q and R.
• This is the circumcircle of triangle PQR.