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nikdorinn [45]
3 years ago
15

If ABC ~ DEF and the scale factor from ABC to DEF is 1/5, what are the lengths of DE , EF and DF , respectively?​

Mathematics
1 answer:
crimeas [40]3 years ago
7 0

Answer:

option a (2,2,5)

Step-by-step explanation:

First we have to notice that it tells us that the scale is 1/5.

This means that the measures of the new triangle will be 5 times smaller than those of the other triangle.

Now we just have to take the measurements of the sides of the triangle and multiply them by 1/5 or divide them by 5

AB = 10      DE = 10/5 = 2

BC = 10      EF = 10/5 = 2

AC = 25     DF = 25/5 = 5

DE = 2

EF = 2

DF = 5

(2, 2, 5)

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Given:

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To find:

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Solution:

Volume of a triangular prism is:

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Where, B is the area of triangular base and h is the height of the prism.

Area of triangular base is:

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B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}

B=2\times \dfrac{29}{3}

B=\dfrac{58}{3}

Putting B=\dfrac{58}{3} and h=4 in (i), we get

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