Basic Parallelogram but you cannot solve within 5 mins

Geometry Level pending

In a parallelogram ABCD, AB =20 cm and AD=12 cm. the bisector of angle A meets DC at E and BC produced at F. Find the length of CF.


The answer is 8.

Aman Real by Aman Real , 22, India

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1 solution

Dave Jones
Mar 25, 2015

The parallelogram can have any angles. let's say it is a square. then AD=DE. 20-12 =8

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Thanks Bro , This is also another method of solving this. But this method never came in my mind. Actually my way of solving is little harder. Let angle A=2x. So, angle DAE=x. and angle D=180-2x and angle DEA=x. Now,angle FEC=x. And angle EFC=x. So Angle FCE=180-2x That means CE=CF and AD=DE So,20-12=8 CE=8=CF

Aman Real - 6 years, 2 months ago

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