Relation between Area of Parallelogram and Triangle
Relation between Area of Parallelogram and Triangle
Theorem: If a triangle and a parallelogram are on the same base and between the same parallels the area of the triangle is equal to half of the parallelogram.
Given A To prove Construction Draw Proof Since A, E and D are collinear and BC || AD
Now,
From Eq (1) and Eq (2) |  |
ILLUSTRATION P and Q are any two points lying on the side DC and AD respectively of a parallelogram ABCD. Show that ar(APB)= ar(BQC)
Solution: Now
Similarly
From Eq (1) and Eq (2) Hence Proved |  |
| |||||
| Right Option : C | |||||
| View Explanation | |||||
A triangle and a parallelogram are on the same base and between the same parallels. The ratio of the areas of triangle and parallelogram is | |||
| Right Option : B | |||
| View Explanation | |||
If KLMN is a parallelogram and a KOL is a triangle with area x
| |||
| Right Option : A | |||
| View Explanation | |||
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