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15 Cards in this Set
- Front
- Back
The ________ ____ of two numbers is the positive square root of their product
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Geometric mean
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What is the Altitude Rule?
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(Segment 1/Altitude) = (Altitude/Segment 2)
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What is the leg rule?
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(hypotenuse/leg) = (leg/segment of hypotenuse adjacent to leg)
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In the Pythagorean Theorem, if a^2+b^2>c^2, what kind of triangle is it?
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Acute
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In the Pythagorean Theorem, if a^2+b^2<c^2, what kind of triangle is it?
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Obtuse
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In the Pythagorean Theorem, if a^2+b^2=c^2, what kind of triangle is it?
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Right
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What is a pythagorean triple and what are the four sets of them?
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A pythagorean triple is a set of 3 positive integers that satisfy the equation of a^2+b^2=c^2. The four pythagorean triple sets are:
3,4,5 5,12,13 7,24,25 8,15,17 |
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What does the word trigonometry come from? What are those two word's meanings?
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Two Greek terms:
Trigon - triangle Metron - measure |
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If one was given the Hypotenuse of an equilateral triangle, how would they find the altitude?
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Divide the Hypotenuse in half and multiply by root 3 to get the altitude
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If one was given the altitude of an equilateral triangle, how would they find the hypotenuse?
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divide the altitude by root 3
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If one was given the diagonal of a square, how would they find the four congruent sides of it?
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Multiply the diagonal in half and multiply by √2 to get the congruent sides
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On a 30°, 60°, 90° triangle, what value does the 30° 90° leg have?
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x√3
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On a 30°, 60°, 90° triangle, what value does the 30° 60° leg have
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2x
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On a 30°, 60°, 90° triangle, what value does the 60°, 90° leg have
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x
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On a 45°, 45°, 90° triangle, what value do the two congruent sides have? And the Hypotenuse?
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1: x
2: x√2 |