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△abc ~ △def find the value of x. a 7 ft b 6 ft c d x ft e 12 ft f x = ?

Question

△abc ~ △def
find the value of x.
a 7 ft b
6 ft c
d x ft e
12 ft f
x = ?

Explanation:

Answer:

Since \(\triangle ABC\sim\triangle DEF\), the ratios of corresponding sides are equal. If we assume the ratio of the sides of \(\triangle ABC\) to \(\triangle DEF\) gives \(\frac{6}{12}=\frac{7}{x}\), then \(6x = 7\times12\), and \(x = 14\) ft. So \(x = 14\)