Question

teroem : if two angle of triangle are congruent then the sides opposite to there congruent given: in ∆pqr=pqr
to prove :side pq=side pr
construction : draw the bisecter of pintersectong side Qr at point M
proof:in ∆pqm and∆prm​

Answer 1

Step-by-step explanation:

We have two triangles PQM and PRM.

PQ = PR [given]

QM = MR [M being the midpoint of QR]

PM is common to both.

Hence the two triangles PQM and PRM are congruent [By SSS postulate]

Therefore <QPM = <RPM [ angles opposite equal sides QM and MR], so PM bisects the <QPR.