GEOMETRY REVIEW

In a right triangle, the shorter sides are called legs and the longest side (which is the one opposite the right angle) is called the hypotenuse The Pythagorean Theorem relates the lengths of the sides. c hypotenuse c2 = a2 + b2 leg b c2 = (3)2 + (4)2 leg a c2 = 9 + 16 = 25 c = 5 If one leg of a right triangle measures 3 inches and one leg measures 4 inches, how long is the hypotenuse?

Area = lw GEOMETRY FORMULAS For a rectangle Perimeter = P = 2l + 2w Some formulas from geometry will be useful in algebra and trigonometry. For a rectangle Area = lw w = width l = length Perimeter = P = 2l + 2w This is distance around

Area = one half base times height For a triangle Area = one half base times height height = h base = b

Area = pi times radius squared For a Circle Area = pi times radius squared radius = r diameter = d Circumference = 2 pi times radius or pi times diameter

V = lwh For a Rectangular Box Volume = length times width times height h = height V = lwh w = width l = length Surface Area = 2 length times width (the top & bottom) + 2 length time height (the front & back) + 2 width times height (the sides)

For a Sphere Volume = 4/3 pi times the radius cubed Surface Area = 4 pi times the radius squared

For a Right Circular Cylinder Volume = pi times the radius squared times the height r h Surface Area = 2 pi times the radius squared + 2 pi times the radius times the height