Question

In ∆PQR and ∆ABC, ∠B = ∠P = 90°. If AC = QR

and PR = BC, then prove that the given triangles

are congruent. ​

Answer 1

Answer:

∆ ABC and triangle ∆PQR

AB=PQ

BC=QR

CB and RQ extended toX and Y

angle ABX =angle PQY

angle ABC =180°- angle ABX =180°angle PQY

angle PQR =180°- angle PQY= angle ABC

we get in Both triangles

AB=PQ

BC=QR

and angle ABC =PQ

Then the Both triangles are congruent

i.e.∆ABC=∆PQR

Answer 2

Step-by-step explanation:

it can be solved by RHS congruence criterion .

so,

angle P=angle B=90°

AC=QR

PR=BC

hence proved

hope it helps.........