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# Geometry Unit 7

Pythagorean Theorem In a right triangle, thesum of the squares of the lengths of the legs is equal to thesquare of the length of the hypotenuse.
Pythagorean Triple is a set of nonzero whole numbers a, b,and c that satisfy the equation
Converse of Pythagorean Theorem If thesquare of the length of one side of a triangle is equal to the sumof the squares of the lengths of the other two sides, then thetriangle is a right triangle.
Theorem 7-6 If the square of the length of the longest side ofa triangle is greater than the sum of the square of the lengthsof the other two sides, the triangle is obtuse.
Theorem 7-7 If the square of the length of the longest side ofa triangle is less than the sum of the squares of the lengths ofthe other two sides, the triangle is acute
45-45-90 Triangle Theorem In a 45-45-90triangle, both legs are congruent and the length of thehypotenuse is 2 times the length of a leg.
30-60-90 Triangle Theorem In a 30-60-90triangle, the length of the hypotenuse is twice the length of theshorter leg. The length of the longer leg is 3 times the lengthof the shorter leg.
Tangent length of leg opposite to anglelength of leg adjacent to angle
Sine leg opposite to anglehypotenuse