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Elza [17]
3 years ago
6

A dilation has been performed on ΔABC. The length of segment BC is 5 cm and the length of segment BC' is 30 cm. If segment AC ha

s a length of 12 cm, what is the length of segment A'B'?
Mathematics
1 answer:
borishaifa [10]3 years ago
7 0
If we try to find the scale factor by dividing 30 by 5 to get 6cm, then multiply 12 by 6 and we get A'B' = 72cm
: D
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The front of the base is 1.25 ft and the total base is 14.05 ft.

<h3>How to find the side of a right triangle?</h3>

A right triangle has one of its angles as 90 degrees. The side of a right angle triangle can be found using trigonometric ratios.

The sides CD and BD can be found using similar triangle principle.

In similar triangles, corresponding sides are always in the same ratio.

Therefore, the following proportion can be established as follows;

\frac{BC}{AC}=\frac{AC}{CD}

Hence,

\frac{12.8}{4}=\frac{4}{CD}

cross multiply

4 × 4 = 12.8 CD

16 = 12.8CD

divide both sides by 12.8

CD = 16 / 12.8

CD = 1.25 ft

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Therefore, the front of the base is 1.25 ft and the total base is 14.05 ft.

learn more on right triangle here: brainly.com/question/14324872

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