# math

Classified in Mathematics

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Chapter 7 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. 45-45-90 Theorem: the hypotenuse is √2times as long as each leg 30-60-90 Theorem: in a 30-60-90 triangle , the hypotenuse is twice as long as the shorter leg, and the longer leg is 3 times as long as the shorter leg.Chapter 6:Perimeters of similar polygons: if two polygons are similar,then the ratio of their perimeters is equal to the ratios of their corresponding side lengths. AA Similarity postulate: if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. SSS Similarity Theorem: if the corresponding side lengths of two triangles are proportional, then the triangles are similar.

Chapter 4 Triangle Sum Theorem: The sum of the measures of the interior angles of a triangle is 180. Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the nonadjacent interior angles.

Formulas  Distance Formula: d=√(x2−x1)2+(y2−y1)2Slope Formula: m=(x1−x2 ) / (y1−y2) Pythagorean Theorem:  c=a2+b2 (hypotenuse)2=(leg2)+(leg2

Area triangle: 1/2xbasexheight Hypotenuse 45-45-90= legx√

Hypotenuse 30-60-90 = 2xshorter leg Longer leg= shorter leg x 3 tan= opposite/adjacent cos=adjacent/hypotenuse

sin= opposite/hypotenuse Inverse tan= tan-1 Inverse sine = sin-1Inverse Cosine=  cos-1`