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  • 22-03-2021
  • Mathematics
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In the diagram below DE is the midsegment of AABC.
Find the length of DE and BC.

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

Respuesta :

reeserl reeserl
  • 22-03-2021

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

[tex]4^{2} + 3^{2} = DE^{2}[/tex]

16 + 6 = 25 = [tex]DE^{2}[/tex]

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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