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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.
Sum
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Solution
Area (ΔABC) = 36 cm2
Area (ΔDEF) = 64 cm2
DE = 6·2 cm
AB =?
We have
`"area (ΔABC)"/"area (ΔDEF)" = "AB"^2/"DE"^2`
⇒ `(36)/(64) = "AB"^2/(6.2)^2`
⇒ `"AB"/(6·2) = (6)/(8)`
⇒ AB = `(6 xx 6·2)/(8)`
⇒ AB = 4·65 cm.
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