Question

in fig 11 52 two sides AB and Bc and the altitude AD of triangle ABc are respectively equal to the sum PQ of QR and the altitude AD of triangle ABC are respectively equal to the sides PQ and QR and the altitude ps. prove that triangle ABC = triangle PQR.​

Answer 1

Given BC=QR

1/2 BC= 1/2 QR

BD=QN

In △ ABD and PQN,

AB=PQ (Given)

BD=QN (Proved above)

AD=PN (Given)

Thus, △ABD≅△PQN (SSS rule)