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Unformatted text preview: 9-7 Some Theorems on Right Triangles
A) Theorem 9-26 a. The median to the hypotenuse of a right triangle is half as long as the hypotenuse b. c. Proof Take a point D on CM such that quadrilateral ADBC is a parallelogram. What type of parallelogram is it? Why? Then,
CM = 1 AB 2 B) Theorem 9-27 (The 30-60-90 Triangle Theorem) a. If an acute angle of a right triangle has a measure of 30, then the opposite side is half as long as the hypotenuse i. b. Proof Let M be the midpoint of the hypotenuse AB . What does that tell us? What other angle do we know? C) Theorem 9-28 (The Converse of the 30-60-90 Triangle Theorem) a. If one leg of a right triangle is half as long as the hypotenuse, then the opposite angle has a measure of 30. Proof Let M be the midpoint of AB . Then what do we know? What kind of triangle is CMB ? ...
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This note was uploaded on 05/16/2011 for the course ALGEBRA 098 taught by Professor Johnson during the Spring '09 term at Grand Valley State.
- Spring '09