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ANTONII [103]
3 years ago
14

Segment DE is midsegment of triangle ABC. What is the length of segment DE?

Mathematics
2 answers:
DiKsa [7]3 years ago
7 0
(X+5)2=X+15
2X+10=X+15
X=5
A) 5 :)
e-lub [12.9K]3 years ago
4 0

Answer:

B) 10

Step-by-step explanation:

If DE is midsegment of the triangle, we know that AC measures twice as DE.

In the problem we have that AC = x + 15 and DE = x + 5

Writing this as an equation we have:

x + 15 = 2(x+5)\\x+15=2x +10\\15-10=2x-x\\5=x

Therefore x = 5 and the length of segment DE is:

x + 5 = 5 + 5 = 10

Therefore the correct answer is B) 10

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