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# Ch7 Pos&Cor

Postualte/Corollarie/TheoremDefinition
Pythagorean Theorem In a right triangle, the square of the hypotonuse is equal to the sum of squars of the two legs.
Converse of Pythagorean Theorem If the square of the length of the hypotonuse is equal to the sum of the squares of the legs, then it is a right triangle.
7.3 If the square of the length of the longest side is less than the sum of the squares of the other two sides, it is an acute triangle.
7.4 If the square of the length of the longest side is greater than the sum of the squares of the other two sides, it is an obtuse triangle.
7.5 If the altitude is drawn to the hypotonuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other.
Geometric Mean (Altitude) Thereom In a right triangle, the altitude from the right angle to the hypotonuse divides the hypotonuse into two segments. The length of the altitude is the geometric mean of the lengths of the two segments.
Geometric Mean (Leg) Thereom In a right triangle, the altitude from the right angle to the hypotonuse divides the hypotonuse into two segments. The length of each leg of the right triangle is the geometric mean of the lengths of the hypotonuse and the segment that is adjacent to it.
45-45-90 Triangle Thereom In a 45-45-90 Triangle, the hypotonuse is the square root of 2 times as long as each leg.
30-60-90 Triangle THereom In a 30-60-90 Triangle, the hypotonuse is twice as long as the shorter leg, and the longer leg is the square root of three times as long as the shorter leg.
Created by: 1430116769