Math, asked by shauryak206, 1 day ago

Two triangles ABC and PQR are congruent triangles such that AABC = AQPR by RHS congruence criterion. If smaller sides of AABC are 5 cm and 12 cm and B=90", then find the length of side QR.​

Answers

Answered by ankitabareth200787
17

Two triangles ABC and PQR are congruent ...

Step-by-step explanation:

In ABC and PQR C = P (Given) B = Q (Given) A = R (Third angle of the triangle)Thus, ABC ∼ PQR Also, given, AB = AC Thus, B = C (Isosceles ...  

Answered by amitnrw
4

Given: Two triangles ABC and POR are congruent triangles such that triangle ABC = triangle QPR by RHS congruence criterion.

Smaller sides of triangle ABC are 5 cm and 12 cm and ∠B = 90°

To find:  the length of side QR.​

Solution:

ΔABC  ≅ Δ QPR

Hence AC ≅ QR

=> length AC = QR

AB = 5  , BC = 12   ∠B = 90°

Using Pythagorean Theorem

AC² = AB² + BC²

=> AC² = 5² + 12²

=> AC² = 25 + 144

=> AC² = 169

=> AC = 13

=> QR = 13 cm

length of side QR is 13 cm

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