Cool math .com - The Geometry of Triangles

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The Geometry of Triangles
Definitions and formulas for the area of a triangle, the sum of the angles of a triangle, the Pythagorean theorem, Pythagorean triples and special triangles (the 30-60-90 triangle and the 45-45-90 triangle)
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examples of triangles	area of a triangle	sum of the angles of a triangle
The Pythagorean Theorem	special Pythagorean triples	special triangles 45-45-90 & 36-60-90

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Examples of triangles:

triangle graphic

The area of a triangle:

triangle graphic

The sum of the angles of a triangle:

triangle graphic

Always, always, ALWAYS!

The Pythagorean Theorem:
	This formula is for right triangles only! The sides, a and b, of a right triangle are called the legs, and the side that is opposite to the right (90 degree) angle, c, is called the hypotenuse. This formula will help you find the length of either a, b or c, if you are given the lengths of the other two.
Some special Pythagorean numbers:
These are called Pythagorean triples. The reason that they are so special is that they are whole numbers -- none of those weird decimals, fractions or radicals!

Special Triangles:
	The 30-60-90 Triangle: If you have one side, you can use these formulas (and maybe a little algebra) to get the others.

	The 45-45-90 Triangle: If you have one side, you can use these formulas (and maybe a little algebra) to get the others.