In Fig. 7, if $ riangle ABC \sim riangle DEF$ and their sides of lengths (in cm) are marked along them, then find the lengths of sides of each triangle.

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Question

In Fig. 7, if $	riangle ABC \sim 	riangle DEF$ and their sides of lengths (in cm) are marked along them, then find the lengths of sides of each triangle.

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Accepted Answer

Step 1: As $	riangle ABC \sim 	riangle DEF$: $\frac{2x - 1}{18} = \frac{3x}{6x}$
Step 2: $\frac{18}{6x} = \frac{3x}{6x} \Rightarrow x = 5$
Step 3: $AB = 2(5) - 1 = 9$ cm, $BC = 2(5) + 2 = 12$ cm, $CA = 3(5) = 15$ cm. $DE = 18$ cm, $EF = 3(5) + 9 = 24$ cm, $FD = 6(5) = 30$ cm

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