In , , and . In another triangle , , and . It is known that the two triangles are…

MATHEMATICS · Multi-part · CBSE · Mathematics · Triangles · Triangles

Problem

In △ABC\triangle ABC, AB=8 cmAB = 8\,\text{cm}, AC=12 cmAC = 12\,\text{cm} and ∠A=65∘\angle A = 65^{\circ}. In another triangle PQRPQR, ∠P=65∘\angle P = 65^{\circ}, PR=15 cmPR = 15\,\text{cm} and PQ=x cmPQ = x\,\text{cm}. It is known that the two triangles are similar. (i) Write the proportion relating the pairs of corresponding sides that include the equal angles. (ii) Calculate the value of xx.

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