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emmasim [6.3K]
3 years ago
10

triangle ABC above is isosceles with AB=AC and BC =48. the ratio of DE is 5:7. what is the length of DC

Mathematics
2 answers:
marshall27 [118]3 years ago
6 0

Answer:

28

Step-by-step explanation:

Question Image is attached.

Triangle BED and Triangle CFD are similar.

We can let the length of BD be 5x and DC 7x

We also know BC = 48, thus we can write:

5x + 7x = 48

12x = 48

x = 4

Now, Since DC = 7x, we plug in x = 4 into it.

DC = 7x

DC = 7(4)

DC = 28

Length of DC is 28

natima [27]3 years ago
5 0

Answer:

28

Step-by-step explanation:

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Transposing 2/3 to right-hand-side and changing the sign to negative,

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Multiplying both sides by 2/5,

(p/q)(5/2) x (2/5) = -15/12 . 2/5 = -(3x5)/(3x4) . 2/5 =- 5/4 .2/5

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