Question

triangle ABC and triangle PQR are similar triangles. If AB=6cm, BC=7cm, PQ=9cm, PR=6cm find other sides of the triangles

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Answer 1

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Question:

Triangle ABC and triangle PQR are similar triangles. If AB=6cm, BC=7cm, PQ=9cm, PR=6cm find other sides of the triangles.

Answer:

QR = 10.5cm & CA = 4cm

Step-by-step explanation:

''If 2 triangles are similar, then the ratio of the corresponding sides is equal.''

In Mathematical Terms →

   AB/PQ = BC/QR = CA/RP

∴  6/9 = 7/QR = CA/6

∴ 2/3 = 7/QR = CA/6

∴ QR = 7×3/2  and  CA = 2/3 × 6

∴ QR = 10.5cm  and  CA = 4cm

Hence, all the sides of the triangles are as follows →

AB = 6cm

BC = 7cm

CA = 4cm

PQ = 9cm

QR = 10.5cm

RP = 6cm

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