Same chapter3 marksDifficulty: Medium
ABCD is a parallelogram of area 48 cm2. Find the area of triangle ABC.
Area Theorems
3 marksDifficulty: Medium
Prove that a parallelogram and a triangle on the same base and between the same parallels have areas in the ratio 2 : 1.
Original Khojo Papers practice question — not from a past board paper.
Answer
The parallelogram and the triangle share the base and lie between the same pair of parallels, so they have the same height h. The area of the parallelogram is bh and that of the triangle is ½bh, so the ratio is 2 : 1.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
It follows that two triangles on the same base and between the same parallels are equal in area.
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