Question

triangle ABC~ PQR A(ABC):A(PQR)=1:2 AC=4 then PR=?​

Answer 1

Step-by-step explanation:

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 ∆ ABC Area 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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