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Arithmetic Mean & Example (3):
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1. Between x and y --> x + y/2
2. Between 10 and 16
3. 10 + 16/2 = 26/2 = 13
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Geometric Mean & Example(3):
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1. Between a and b --> a/x = x/b.
2. Between 5 and 5
3. 5/x = x/5; x2 = 25; x = 5
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Label Right Triangle w/ Altitude (6): |
1. a = leg1
2. b = leg2
3. h = altitude (alt)
4. m = segment1 (seg1)
5. n = segment2 (seg2)
6. c = whole hypotenuse (WH)
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Geometric Mean -- Altitude (2):
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1. seg1/alt = alt/seg2
2. The altitude is the geometric mean between the segments of the hypotenuse.
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Geometric Mean -- leg1 (2):
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1. seg1/leg1 = leg1/WH
2. Leg1 is the geometric mean between the first segment of the hypotenuse and the whole hypotenuse.
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Geometric Mean -- leg2 (2):
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1. seg2/leg2 = leg2/WH
2. Leg2 is the geometric mean between the second segment of the hypotenuse and the whole hypotenuse.
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Right Triangle w/ Altitude Makes... (1):
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1. ...Three similar right triangles.
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Pythagoream Theorem (2):
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1. a2 + b2 = c2
2. a = leg1; b = leg2; c = hypotenuse.
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Pythagorean Triples (6):
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1. 3,4,5
2. 6,8,10
3. 12,16,20
4. 5,12,13
5. 8,15,17
6. 10, 24, 26
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1/2 of a Square = ...(1):
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1. ...two equal isoceles right triangles.
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