Question

In triangles ABC and PQR, ∠B = 90∘, AC = 8 cm, AB = 3 cm, ∠P = 90∘, PR = 3 cm, QR = 8 cm. By which congruence rule the triangles are congruent?

Answer 1

Answer:BY RHS CONGRUENCE

Step-by-step explanation:IN triangle ABC,

Angle B= Angle P (Both 90°)

AB=PR=3cm (Given)

BC=PR=8cm (Given)

Therefore

Tri. ABC is congruent to Tri.PQR

BY RHS congruence....

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Answer 2

Given:

Triangle ABC and PQR

∠B = 90∘, AC = 8 cm, AB = 3 cm, ∠P = 90∘, PR = 3 cm, QR = 8 cm

To find:

Congruence rule for which triangle ABC and PQR are congruent.

Solution:

We can find the solution by following the given steps -

We know that two triangles are congruent when their areas are equal or when they have equal angles or sides.

In the given triangles ABC and PQR,

Angle B=Angle P=90°

The two triangles are right-angled.

AC=QR= 8 cm

and AB=PR= 3cm

So, the two triangles have an equal hypotenuse, a right angle, and another equal side.

Triangle ABC and PQR are congruent to each other by the RHS rule.

Therefore, by the RHS congruence rule, the triangles are congruent.