in a triangleABC, DE is parallel to BC and D is the midpoint of side AB. find AE and BC if DE=6cm and EC=5cm
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Here we know that, BC parallel to DE,
D is the midpoint of AB,
Therefore, AD = DB,
AE = EC = 5 cm.
Now we have to find out BC?
AD/DE = AB/BC
AD/6cm = 2AD/ BC (AD+DB=AB, given),
1/6 = 2/BC
BC= 2×6 = 12cm.
Ans:- AE =5cm , and BC=12 cm.
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BC = 12 cm & AE = 5 cm if DE║ BC & D is mid point of side AB and DE = 6cm & EC = 5 cm
Step-by-step explanation:
in Δ ABC DE║ BC
=> AD/AB = AE/AC = DE/BC
D is mid point of AB
=> AD/AB = 1/2
=> 1/2 = AE/AC = DE/BC
=> BC = 2 * DE
=> BC = 2 * 6
=> BC = 12 cm
AC = 2 * AE
=> AC = AE + EC
=> AE + EC = 2 * AE
=> AE = EC
=> AE = 5 cm
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