Lesson 11 · Construction of a Triangle and a Quadrilateral Equal in Area

Construction of triangles and parallelograms equal in area Presentation

MathematicsSubject
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Class 10 Maths · Construction

Triangles and parallelograms equal in area

Same parallels · Change the base, keep the area

By the end of this lesson you can

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Construct a parallelogram equal in area to a triangle

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Construct a triangle equal in area to a parallelogram

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Prove the areas equal using base and height

The area facts we build on

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Triangle \( = \frac{1}{2} \times b \times h \)

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Parallelogram \( = b \times h \)

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Between the same parallels, the height is the same

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Same base, same parallels: triangle is half the parallelogram

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Presenter notes: Today we change a triangle into a parallelogram with exactly the same area, and then change a parallelogram into a triangle. Everything depends on one fact about parallel lines.