Question

Using ruler and a pair compass only, construct a triangle PQR, given PQ = 5.5 cm, QR = 7.5 cm and RP = 6 cm. Draw the bisectors of the interior angles at P, Q and R. Do these bisectors meet at the same point ?

Answer 1

Steps of Construction :

(1) Draw a line PQ = 5.5 cm.

(2) From Q as a center draw an arc QR = 7.5 cm.

(3) From P as a center draw an arc PR = 6 m, which intersects the previous arc at R.

(4) Join PR and QR.

(5) Now, draw interior bisectors of ∠P, ∠QR ∠R which meets each other at point S.