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Question
Triangles ABC and DEF are similar.
If area (ΔABC) = 9 cm2, area (ΔDEF) = 64 cm2 and BC = 5·1 cm find AB.
Solution
We have
area (ΔABC) = 9 cm2
area (ΔDEF) = 64 cm2
and DE = 5·1 cm
Since, `"area (ΔABC)"/"area (ΔDEF)" = "AB"^2/"DE"^2`
⇒ `(9)/(64) = "AB"^2/"DE"^2`
⇒ `"AB"/"DE" = (3)/(8)`
⇒ `"AB"/(5·1) = (3)/(8)`
⇒ AB = `(3)/(8) xx 5.1 = (15·3)/(8)`
⇒ AB = 1·9125 cm.
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