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PolarNik [594]
3 years ago
7

In the diagram below DE is the midsegment of AABC. Find the length of DE and BC.

Mathematics
1 answer:
baherus [9]3 years ago
4 0

Answer:

DE = 5

BC = 10

Step-by-step explanation:

ΔAED is a right triangle with legs of 4 and 6/2 = 3

Use the Pythagorean theorem to find DE

4^{2}  + 3^{2} = DE^{2}

16 + 6 = 25 = DE^{2}

DE = 5

The midsegment of a triangle is 1/2 the length of the corresponding side.

Therefore, BC = 2 DE = 2(5) = 10 = BC

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