Draw ΔPQR with PQ = 4 cm, QR = 3.5 cm and PR = 4 cm. What type of triangle is this?

Given: (i) PQ = 4 cm

(ii) QR = 3.5 cm

(iii) PR = 4 cm

To construct: a PQR

Steps for construction

Step 1 : We have to draw a line segment PQ of 4cm

Step 2 : We have to draw an arc , taking P as center and radius 4cm

Step 3 : We have to another arc, with radius 3.5cm and center at Q and mark the intersection of arcs as R.

Step 4 : We have to join PR and RQ

This is the required triangle. Here we can see that PQ=PR. Therefore it is an isosceles triangle.