Question

in triangle abc d is the midpoint of side ab. line de || side bc a-e-c then prove that point e IS the midpoint of side ac.

Answer 1

Answer:

$we are given that ABC be a triangle and D be he mid point of AB and DE||BC so, AD = DB ...(1)so, in triangle, ABC&ADE ∠BAC=∠DAE ...(common angle)as DE||BC so, ∠ADE=∠ABCand ∠AED=∠ACBso, tri(ADE)∼tri(ABC) SO, AC = AE+EC=2AE=> AE = (AC)/2$

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