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Math II Unit 6

TermDefinition
pythagorean theorem a^2+b^2=c^2 ; two sides and a hypotenuse of a right triangle
converse of pythagorean theorem if a^2+b^2=c^2, then the triangle is a right triangle
pythagorean triple a set of three non-zero whole numbers (a,b, c) that satisfy the equation a^2+b^2=c^2
45-45-90 general rule To find the hypotenuse of an isosceles right triangle, multiply the leg by the square root of 2; to find the leg of an isosceles right triangle, divide the hypotenuse by the square root of 2
30-60-90 general rule To find the hypotenuse of this right triangle, multiply the short leg by 2; to find the long leg, multiply the short leg by the square root of 3; to find the short leg, either divide the hypotenuse by 2 or the long leg by the square root of 3
30-60-90 right triangle In this triangle, the 30 degree angle is across from the short leg, the 60 degree angle is across from the long leg, and the 90 degree angle is across from the hypotenuse
SohCahToa Sine (Sin), Cosine (Cos), and Tangent (Tan) - part of trigonometric ratios - ALWAYS PUT CALC. TO DEGREES
sin ratio sine - opposite divided by hypotenuse (o/h) ; used to find side measure
cos ratio cosine - adjacent divided by hypotenuse (a/h) ; used to find side measure
tan ratio tangent - opposite divided by adjacent (o/a) ; used to find side measure
sin inverse sin^-1 (o/h) ; used to find angle measure
cos inverse cos^-1 (a/h) ; used to find angle measure
tan inverse tan^-1 (o/a) ; used to find angle measure
angle of elevation the angle above the horizontal line that an observer must look to see an object
angle of depression angles of depression and elevation are measured from a horizontal line; they are alternate interior angles, so they are congruent
Created by: KaseyRoduii
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