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B is the midpoint of and D is the midpoint of . Solve for x, given BD = 3x + 5 and AE = 4x + 20.
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okay..........
B is the mid point of AC and D is the mid point of CE In triangles CBD and CAE CB/CA=1/2 CD/CE=1/2 angle C is the common angle so these two triangles are similar therefore all angles are equal , and all triangles are in the same ratio hence BD/AE=1/2 BD=3x+5 AE=4x+20 3x+5/(4x+20)=1/2 6x+10=4x+20 2x=10 x=5
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