in a triangle ABC, D and E are points on the sides AB and AC repectively such that that DE||BC.
If AD=8,AB=12 and AE=12 Find CE
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Heyo buddy!
The basic proportionality theorem states that if a line is drawn parallel to one side of a triangle and it intersects the other two sides at two distinct points then it divides the two sides in the same ratio.
It is given that AD=8 cm, AB=12 cm and AE=12 cm.
Using the basic proportionality theorem, we have
ad/ab = ae/ac = de/bc
ad/ab = ae/ac
8/12 = 12/ac
8ac = 12×12
8ac = 144
ac = 144/8
18
Now, CE=AC−AE=18−12=6 cm
Hence, CE=6 cm.
I hope the answer was of some help.
:)
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