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Question
Triangles ABC and DEF are similar If area (ΔABC) = 36 cm2, area (ΔDEF) = 64 cm2 and DE = 6.2 cm, find AB.
Solution
We have, Area (ΔABC) = 36 cm2
Area (Δ𝐷𝐸𝐹) = 64 cm2
DE = 6.2 cm
And, ΔABC ~ ΔDEF
By area of similar triangle theorem
`("Area"(triangleABC))/(Area(triangleDEF))="AB"^2/"DE"^2`
`rArr36/64="AB"^2/6.2^2` [By taking square root]
`rArr"AB"=(6xx6.2)/8=4.65` cm
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