Question 5 In given figure, ST RQ, PS = 3 cm and SR = 4 cm. Find the ratio of the area of PST to the area of PRQ.
Given: ABC
ST II RQ
PS = 3 cm, SR = 4cm
To find : ( )/( )
Proof:
In PRQ & PST,
QPR = TPS
PRQ = PST
PRQ ~ PST
Now,
we know that in similar triangles,
Ratio of area of triangle is equal to ratio of square of corresponding sides
( )/( )=( / )^2
( )/( )=( /( + ))^2
( )/( )=(3/(3 + 4))^2
( )/( )=(3/7)^2
( )/( )=9/49
Required Ratio = 9 : 49
(Putting PS = 3 cm,
SR = 4 cm)
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Davneet Singh
Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.
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