What is the length of AC ? 3ft 4ft 9ft 18ft

asked Feb 10, 2019 204k views

3 votes

What is the length of AC ?

3ft
4ft
9ft
18ft

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4 votes

Answer:

The answer is D, 18ft.

Explanation:

The length of AC is 18 ft.

Stanimirsp answered Feb 12, 2019

5.4k points

7 votes

ΔACB and ΔMNB are similar. Therefore the corresponding sides are in proportion:

$(AC)/(MN)=(CB)/(NB)\\\\MN=9\ ft\\CB=2\cdot3\ ft=6\ ft\\NB=3\ ft$

Substitute:

$(AC)/(9)=(6)/(3)\\\\(AC)/(9)=2\ \ \ \ |\cdot9\\\\AC=18\ ft$

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