Term
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Definition
| If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other. |
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Term
| Theorem 9.2 (Geometric Mean Theorem #1) |
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Definition
| In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of the altitude is the geometric mean of the lengths of the two segments. |
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Term
| Theorem 9.3 (Geometric Mean Theorem #2) |
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Definition
In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments.
The length of each leg of the right triangle is the geometric mean of the lengths of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg. |
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Term
| 45, 45, 90 triangle Theorem |
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Definition
| IN a 45-45-90 degree triangle, the hypotenuse is root 2 times as long as the leg. |
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Term
| 30-60-90 Triangle Theorem |
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Definition
| In a 30-60-90 Degree Triangle, the hypotenuse is twice as long as the shorter leg and the longer leg is root 3 times as long as the shorter. |
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