IntelectualHelper
IntelectualHelper IntelectualHelper
  • 23-01-2021
  • Mathematics
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Point D is the in center of triangle ABC. Write an expression for the length x in terms of the three side lengths AB, AC, BC.

Hint: Use areas of triangles...A=1/2bh

Point D is the in center of triangle ABC Write an expression for the length x in terms of the three side lengths AB AC BC Hint Use areas of trianglesA12bh class=

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felixkings
felixkings felixkings
  • 23-01-2021

Answer:

[tex] \underline{\boxed{x = \frac{A_r}{AC}}}[/tex]

Step-by-step explanation:

[tex]let \: the \: area \: be \to \: A_r \\ since \: the \: base =AC \\ then \: the \: height = AB \\ but \: AB = 2x \\ hence : the \: area \: A_r= \frac{1}{2} AC(2x) \\ (2x)AC = 2A_r\\ x = \frac{2(A_r)}{2(AC)} \\ \boxed{x = \frac{A_r}{AC}}[/tex]

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