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Postulates and Thrms
Chapter 7
Question | Answer |
---|---|
pythagorean theorom | the square of hyp= square of both legs added together |
converse of ^^ | if a square of the longest side is equal to the sum of the squares of the other sides, then it is a right triangle. |
7.3 | if square of the length of the longest side is less than the sum of the squares of the other two sides then it is and acute triangle. |
7.4 | if square of the length of the longest side is greater than the sum of the squares of the other two sides then it is and obtuse triangle. |
7.5 | if the altitude is drawn to the hyp. of a right triangle, then the two triangles formed are similar to the original and each other. |
7.6 | in a right triangle, the altitude from the right angle to the hyp. divides the hyp. into two segments. length of altitude is GM. |
7.7 | in a right triangle, the altitude from the right angle to the hyp. divides the hyp. into two segments. length of each leg is GM. |
7.8 | in 45-45-90 triangle, the hyp. is square root 2 times as long as each leg. |
7.9 | in 30-60-90 triangle, the hyp. is twice as long as the shorter leg, and the longer leg is square root 3 times as long as the shorter leg |