This is the proof to the first Math Proof Problem of the Week. Proof Squaring results to Now, since. Since , . This means that Now, since , is positive, which means that is positive. Therefore,

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# Monthly Archives: May 2013

## Deriving the Area of a Triangle using Trigonometry

The area of the triangle is half the product of its base and altitude. In the figure below for instance, the area of the two triangles with base and altitude is given by the formula . In this post, we derive the area of a triangle using trigonometry In particular, we want to compute […]

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## Proof That The Opposite Sides of a Parallelogram Are Congruent

A parallelogram is a quadrilateral whose opposite sides are parallel. In the figure below, is a parallelogram. is parallel to and is parallel to . In this post, aside from being parallel, we will also prove that the opposite sides of a parallelogram are congruent.

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