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Question
If ∆ABC is similar to ∆DEF such that ∆DEF = 64 cm2 , DE = 5.1 cm and area of ∆ABC = 9 cm2 . Determine the area of AB
Solution
Since the ratio of areas of two similar triangles is equal to the ratio of the squares of any two corresponding sides.
`\therefore \text{ }\frac{Area\ (\Delta ABC)}{Area\,\,(\Delta DEF)}=(AB^2)/(DE^2)`
`\Rightarrow \frac{9}{64}=(AB^2)/(5.1)^2`
`\Rightarrow AB=\sqrt{3.65}`
⇒ AB = 1.912 cm
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