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 c leg se nu te po hy b The Pythagorean Theorem relates the lengths of the sides. c 2 = a 2 + b 2 c 2 = (3)2 + (4)2 leg a c 2 = 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?
GEOMETRY FORMULAS Some formulas from geometry will be useful in algebra and trigonometry. For a rectangle Area = lw l = length Perimeter = P = 2 l + 2 w This is distance around w = width
For a triangle Area = one half base times height = h base = b
For a Circle ra diu s= r Area = pi times radius squared diameter = d Circumference = 2 pi times radius or pi times diameter
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