Question

The two triangles,PQR and SQR,share the base QR. If <P=<S=90 degree and PQ=SR,prove that the two triangles are congruent.​

Answer 1

In ∆PQR & ∆SRQ,

PQ = SR (given)

QPR = RSQ (90°)

QR = QR (common side)

Hence, ∆PQR is congruent to ∆SRQ by SAS congruency rule.