triangle PQR ~triangle STU QR=8cm,TU=12 cm,A(triangle PQR)=128cm2 find area of triangle stu
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Given : ΔPQR ≈ ΔSTU
QR = 8 cm
TU = 12 cm
Ar( ΔPQR) = 128 cm²
To Find : Ar( ΔSTU) area of triangle stu
Solution:
ΔPQR ≈ ΔSTU
=> Ar( ΔSTU) / Ar( ΔPQR) = ( TU/QR)²
Ratio of area of similar triangle is square of ratio of corresponding sides
=> Ar( ΔSTU) /128 = ( 12/8)²
=> Ar( ΔSTU) /128 = ( 3/2)²
=> Ar( ΔSTU) /128 =9/4
=> Ar( ΔSTU) = 128 * 9/4
=> Ar( ΔSTU) =32 * 9
=> Ar( ΔSTU) =288 cm²
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