Question

2. Prove that two triangles on the same base and between the same parallels are equal
in area.​

Answer 1

Answer:

To prove: Triangles on the same and between same parallel is equal in are.

Proof: △ABC & △ABD are drawn on the same base AB as base lying between the same two parallel lines L

1

& L

2

Here we will be using the following property of a triangle and parallelogram drawn on the same base between two parallel lines.

Since △ABC & ∣∣gm ABPQ are on the same base and between the same parallel L

1

& L

2

∴ar(△ABC)=

2

1

area of parallelogram ABPQ.

Similarly,

ar(△ABD)=

2

1

area of parallelogram ABPQ.

∴ area of △ABC=area of △ABD.

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