Same chapter3 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.
Area Theorems
3 marksDifficulty: Medium
State the relation between the area of a triangle and that of a parallelogram on the same base and between the same parallels.
Original Khojo Papers practice question — not from a past board paper.
Answer
The area of the triangle is half the area of the parallelogram.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
A diagonal of a parallelogram divides it into two triangles of equal area, which is the same fact seen another way.
Related questions
From the same topic and chapter, at a similar level.
Same chapter1 markDifficulty: Medium
Triangles on the same base and between the same parallels are:
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ABCD is a parallelogram of area 48 cm2. Find the area of triangle ABC.
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Prove that a median of a triangle divides it into two triangles of equal area.
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State the theorem about the areas of parallelograms on the same base and between the same parallels.
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Factorise x4 − 81.
Factorisation