Question

In the following figure, show that ΔPSQ ≅ΔPSR.​

Answer 1

PQ=PR=6.5 cm

∆PSQ =∆PSR =90°

Hence Proved,∆PSQ=∆PSR By SAS

HOPE IT'S HELP YOU

PLEASE MARK ME AS BRAINLIEST.

Answer 2

Given : Two triangles namely PSQ and PSR

PQ= 6.5 cm

PR= 6.5 cm

To proof: Triangle PQR and PSR are congruent

Solution :

congruence is property by which two triangles are congruent by any four property that is RHS,SAS,SSS,ASA.

In triangle PQR and Triangle PSR

PQ=PR = 6.5 cm (given) (side)

Angle PSQ = Angle PSR =90° ( Right angle)

PS=PS (SIDE IS COMMON)

TRIANGLE PQR IS CONGRUENT TO PSR

TRIANGLE PQR IS CONGRUENT TO PSR (by RHS congruence property)

Hence ,it is proved that Triangle PQR is congruent to Triangle PSR.