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Areas

    Introduction

    Area of Planar Regions

    Area of Rectangle

    Figures on the Same Base and Between the Same Parallels

    Parallelograms on the Same Base and Between the Same Parallels

    Triangles on the Same Base and Between the Same Parallels

    Exercise 11.1

    Exercise 11.2

    Exercise 11.3

    What We Have Discussed

    Enhanced Curriculum Support

    Easy Level Worksheet

    Moderate Level Worksheet

    Hard Level Worksheet

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Areas > Triangles on the Same Base and Between the Same Parallels

Triangles on the Same Base and Between the Same Parallels

If two triangles share the same base and are between the same parallel lines, they also have areas.

This is because a triangle is of a parallelogram.

Even if one triangle looks "taller" due to a slant, its actual height (perpendicular to the base) remains the .

In the above figure, the three triangles (∆AXB and ∆) are on the same base and have a common height.

Can we say all the triangles are equal in area? .

Are the triangles congruent also? .

All the congruent triangles are equal in area but the triangles equal in area need not be congruent