SOLUTION: Diagonals AC and BD of a parallelogram ABCD intersect at O . Given that AB=12 gm and the perpendicular distance between AB and DC is 6 cm. Calculate the area of the triangle AOD
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Question 1034407: Diagonals AC and BD of a parallelogram ABCD intersect at O . Given that AB=12 gm and the perpendicular distance between AB and DC is 6 cm. Calculate the area of the triangle AOD
Answer by ikleyn(52780) (Show Source): You can put this solution on YOUR website!
.
The area of the triangle AOD is one fourth of the area of the parallelogram, which is 12*6 = 72 .
So the answer is = 18 .
Why? Due to two reasons.
1. Because the diagonal of a parallelogram divides it in two congruent triangles, and
2. Because the diagonals of a parallelogram bisect each other.
See the lessons
- In a parallelogram, each diagonal divides it in two congruent triangles
- Properties of diagonals of parallelograms
in this site.
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