Question

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

Answer 1

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