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3 years ago

Please help.......................

Mathematics

1 answer:

Westkost [7]3 years ago

5 0

Answer:

FD = 8

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{FD}{BA}$ = $\frac{FE}{BC}$ , substitute values

$\frac{x+3}{2x+2}$ = $\frac{16}{24}$ = $\frac{2}{3}$ ( cross- multiply )

2(2x + 2) = 3(x + 3) ← distribute parenthesis on both sides

4x + 4 = 3x + 9 ( subtract 3x from both sides )

x + 4 = 9 ( subtract 4 from both sides )

x = 5

Thus

FD = x + 3 = 5 + 3 = 8

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Answer:

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Step-by-step explanation:

The picture of the question in the attached figure

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we have

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