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Question
The given figure shows a parallelogram ABCD. E is a point in AD and CE produced meets BA produced at point F. If AE= 4cm, AF= 8 cm and AB = 12 cm, find the perimeter of the parallelogram ABCD.
The given figure shows a parallelogram ABCD. E is a point in AD and CE produced meets BA produced at point F. If AE= 4cm, AF= 8 cm and AB = 12 cm, find the perimeter of the parallelogram ABCD.
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Solution
This is a nice little problem on similar triangles.
Triangles FAE and FBC are similar (which means their angles are the same.
Angle at F is in both triangles and angles EAF and CBA are corresponding angles because AE // BC
This means the sides are in proportion so:
Perimeter is 44 cm
This is a nice little problem on similar triangles.
Triangles FAE and FBC are similar (which means their angles are the same.
Angle at F is in both triangles and angles EAF and CBA are corresponding angles because AE // BC
This means the sides are in proportion so:
Perimeter is 44 cm
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