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2 years ago

What is the measure of AC?

Mathematics

2 answers:

Firlakuza [10]2 years ago

5 0

Answer:

AC = 52.8

Step-by-step explanation:

33/20 = 1.65

12*1.65 = 19.8

BA = 19.8

CB + BA = AC

33 + 19.8 = 52.8

lawyer [7]2 years ago

5 0

Answer:

AC = 52.8

Step-by-step explanation:

Since BE is parallel to CD and intersects the 2 sides of the triangle then it divides those sides proportionally, that is

$\frac{BC}{AB}$ = $\frac{DE}{AE}$ , substituting values

$\frac{33}{AB }$ = $\frac{20}{12}$ ( cross- multiply )

20AB = 396 ( divide both sides by 20 )

AB = 19.8

Thus

AC = AB + BC = 19.8 + 33 = 52.8

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