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GenaCL600 [577]
3 years ago
15

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.

Mathematics
1 answer:
mina [271]3 years ago
7 0

Answer:

\underline{\boxed{x =  \frac{A_r}{AC}}}

Step-by-step explanation:

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}}

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