A Triangle and a Parallelogram on the Same Base between the Same Parallel Lines

# A Triangle and a Parallelogram on the Same Base between the Same Parallel Lines

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• Triangle and Parallelogram on the Same Base between the Same Parallel Lines
• Summary
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In the previous segment, we proved that parallelograms on the same base and between the same parallels have equal areas. In this segment, we will learn about triangles and parallelograms on the same base and between the same parallels.

## Areas of a triangle and a parallelogram on the same base and between the same parallels

Consider parallelogram PQRS and triangle ASR having the same base SR. ## Figure 1

The two figures also lie between the same two parallel lines SR and AQ. ## Figure 2 Draw a segment RB parallel to side SA to give two parallelograms, ABRS and PQRS.

Figure 3

## Related content

 AREAS OF PARALLELOGRAMS AND TRIANGLESCongruent Figures Parallelograms on the Same Base and between the Same Parallel Lines – Part 1 Parallelograms on the Same Base and between the Same Parallel Lines – Part 2 Triangles Having The Same Base And Between The Same Two Parallel Lines Triangles having the same base and between the same two parallels – Converse  +91

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