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if a triangle ABC and triangle qrp and triangle ABC and q r p equal to 9 vitamin foods and BC equal to 5 cm then find the PR |
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Answer» GIVEN : Area of ∆ ABCArea of ∆QRP = 94 AB = 18 cm , BC = 15 cm So PR = ? We know when TWO triangles are similar then " The areas of two similar triangles are proportional to the squares of their corresponding sides. Area of ∆ ABCArea of ∆ QRP = AB2QR2 = BC2PR2 = AC2QP2 So , we take Area of ∆ ABCArea of ∆ QRP = BC2PR2 Now SUBSTITUTE all given values and get 94 = 152PR2 Taking square root on both hand side , we get 32 = 15PR PR = 10 cm |
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