Question 6
Consider the two similar triangles ABC and DEF. Which of the following is correct about the ratio of the area of the triangle ABC and DEF?
Solution
It is given that $$\triangle$$ ABC $$\sim\triangle$$ DEF
=> $$\frac{AB}{DE}=$$ $$\frac{BC}{EF}=$$ $$\frac{AC}{DF}$$
Also, ratio of areas of two similar triangles is equal to the ratio of the square of the corresponding sides.
=> $$\frac{ar(\triangle ABC)}{ar(\triangle DEF)}=$$ $$(\frac{AB}{DE})^2=(\frac{BC}{EF})^2=(\frac{AC}{DF})^2$$
=> Ans - (B)
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