The area of two similar triangles abc and def are256cm^2 and 144cm^2 respectively.If the longest sidee
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The ratio of are of two similar triangles is equal to the ratio of square of corresponding sides.
Here longest side of ∆ABC is 32cm
let the longest side of ∆DEF be xcm
=ar(∆ABC)/ar(∆DEF)= (32)^2/(x)^2
= 256/144= (32)^2/x^2
= √256/√144= 32/x
= 16/12= 32/x
= 16x= 32×12
= 16x= 384
=x= 384/16
x= 24cm
Therefore, longest side of similar∆ is 24cm.
MARK BRAINLIEST✓✓
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