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12 Cards in this Set
- Front
- Back
Theorem 49
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The altitude to the hypotenuse of a right triangle forms two triangles similar to it and to each other.
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Corollary to Theorem 49
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The altitude to the hypotenuse of a right triangle is the geometric mean between the hypotenuse and its projections on the hypotenuse.
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Corollary 2 to Theorem 49
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Each leg of a right triangle is the geometric mean between the hypotenuse and its projection on the hypotenuse.
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The Pythagorean Theorem
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In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
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The Isosceles Right Triangle Theorem
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In an isosceles right triangle, the hypotenuse is (Square Root)2 times the length of a leg.
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Corollary to The Isosceles Right Triangle Theorem
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Each diagonal of a square is (Square Root)2 times the length of one side.
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The 30 degree-60 degree Right Triangle Theorem
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In a 30 degree-60 degree right triangle, the hypotenuse is twice the shorter leg and the longer leg is (Square Root)3 times the shorter leg.
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Corollary to The 30 degree-60 degree Right Triangle Theorem
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An altitude of an equilateral triangle having side "s" is (Square Root)3/2 "s" and its area is (Square Root)3/4 "s squared."
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Theorem 52
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Two nonvertical lines are parallel iff their slopes are equal.
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Theorem 53
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Two nonvertical lines are perpendicular iff the product of their slopes is -1.
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Law of Sines and Cosines
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See page 475
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Angle of inclination, Cosine, Pythagorean Triple, Sine, Slope, and Tangent
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Reference these on Page 475
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