Draw a triangle PQR, where PQ =4 cm, QR = 4.5 cm and PR = 5cm.
Step of construction as follows:
Step 1: Use ruler and draw line segment PQ of 4cm (as shown below):
Step 2: Use compass and 5 cm wide open. And with P as center draw an arc (as shown below):
Step 3: Again Use compass and 4.5 cm wide open. And with Q as center draw another arc, such that it cuts previous arc (as shown below):
Step 4: Mark point of intersection of both arcs at Point R (as shown below):
Step 5: Use ruler and Join points P & R and points R & Q (as shown below):
Step 6: Use ruler and measure length of sides PR and RQ
You will observe that PR = 5 cm and QR = 4.5
(And if you found measure of side PR and QR to be different, then there is some error and you have redo it.)
Resultant diagram is of Triangle PQR with sides PQ =4 cm, QR = 4.5 cm and PR = 5cm (as shown below)
