Question

In the given figure, PQR is a triangle in which PQ = PR. IF ‘T’ be a point on QR product, prove that PT > PR. the correct answered will be mark as brainliest and please write the reason for each step as needed in geometry please please

Answer 1

Answer:

please mark me brainliest

Step-by-step explanation:

in triangle PQR,

PQ=PR [Given]

= angle PRQ=angle PQR[angle opposite to the equal sides are equal]......(1)

since ST|| QR and PQ is a transversal,then

angle PQR = angle PST (corresponding angles).....(2)

since PQ || QR and PR is a transversal,then

angle PRQ=angle PST (corresponding angles).....(3)

but angle PQR = angle PRQ , then from (2) and (3) we get

angle PST = angle PTS

In triangle PST

angle PST = angle PTS (proved)

therefore PT = PS (sides opposite to equal angles are equal)