Question

If triangle ABC~∆PQR,ratio of there area is 9:4,AB= 18 cm and BC = 15cm,then find the length of PR?
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Answer 1

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Answer:

Step-by-step explanation:

Heya your answer is

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

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