4 years ago

The triangles below are similar. What is the length of ? A. 17 cm C. 19 cm B. 18 cm D. 20 cm

Mathematics

1 answer:

denis-greek [22]4 years ago

4 0

Answer:

B. 18 cm.

Step-by-step explanation:

Because they are similar, we can say that segment AC corresponds to segment DF, and segment AB corresponds to segment ED. So, we can set up a proportion.

$\frac{16}{24} =\frac{12}{x}$

$\frac{2}{3} =\frac{12}{x}$

2 * x = 12 * 3

2x = 36

x = 18

So, the length of ED is B. 18 cm.

Hope this helps!

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