Sullivan College Algebra: Section R'3

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A right triangle is one that contains a right
angle, that is, an angle of 90. The side
opposite the right angle is the hypotenuse.
The Pythagorean Theorem In a right triangle, the
square of the length of the hypotenuse is equal
to the sum of the squares of the lengths of the
legs.
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Example The Pythagorean Theorem
Show that a triangle whose sides are of lengths
6, 8, and 10 is a right triangle.
We square the length of the sides
Notice that the sum of the first two squares (36
and 64) equals the third square (100). Hence the
triangle is a right triangle, since it satisfies
the Pythagorean Theorem.
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Geometry Formulas
For a rectangle of length L and width W
For a triangle with base b and altitude (height)
h
For a circle of radius r (diameter d 2r)
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Geometry Formulas
For a rectangular box of length L, width W, and
height H
For a sphere of radius r
For a right circular cylinder of height h and
radius r