3 years ago

In triangle ABC shown, DE || AC. What is the length of AC?

Mathematics

2 answers:

aliina [53]3 years ago

7 0

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Aliun [14]3 years ago

4 0

Answer:

AC = 20

Step-by-step explanation:

Δ BDE and Δ BAC are similar, so the ratios of corresponding sides are equal, that is

$\frac{AC}{DE}$ = $\frac{BA}{BD}$ , substitute values

$\frac{AC}{8}$ = $\frac{10}{4}$ ( cross- multiply )

4AC = 80 ( divide both sides by 4 )

AC = 20

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