Two triangles ABC and POR are congruent triangles such that triangle ABC = triangle QPR by RHS congruence criterion. If smaller sides of triangle ABC are 5 cm and 12 cm and 2B = 90", then find the length of side QR.
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Answer:
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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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