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16 Cards in this Set
- Front
- Back
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The side of a right triangle that is opposite the 90⁰ angle
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Hypotenuse
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The 2 sides of a right triangle other than the hypotenuse
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legs
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The relationship between the length of the legs and the length of the hypotenuse in a right triangle
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Pythagorean Theorem
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Pythagorean Theorem Equation
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a² + b² = c²....
where a = a leg, b = a leg and c = hypotenuse (longest side) |
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Converse of the Pythagorean Theorem
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If a² + b² = c², then the triangle is a right triangle
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3 numbers that satisfy the Pythagorean Theorem are called...
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Pythagorean Triples
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4 Examples of Pythagorean Triples
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3-4-5...5-12-13...7-24-25...8-15-17
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List the perfect squares through 15²
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4..9..16..25..36..49..64..81..100..121..144..169..196...225
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Name 2 types of Special Right Triangles
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Isosceles Right Trangles (45⁰ - 45⁰ - 90⁰)...and...
30⁰ - 60⁰ - 90⁰ Triangles... NOT EVERY RIGHT TRIANGLE IS A SPECIAL RIGHT TRIANGLE!!!! |
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Isosceles Right Triangle Conjecture (45⁰ - 45⁰ - 90⁰)
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In an isosceles right triangle, if the legs have the length of l, then the hypotenuse has a length of √2 (square root of 2)
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30⁰ - 60⁰ - 90⁰ Triangle Conjecture
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In a 30⁰ - 60⁰ - 90⁰ triangle, if the shorter leg has length a, then the hypotenuse has a length 2a, and the longer leg has length a√3 (a times the square root of 3)
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Distance Formula
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d = √(x₂ - x₁)² + (y₂ - y₁)²...
everythin is under one big square root symbol |
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Slope
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Rise / Run
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Parallel lines
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same slope
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Perpendicular Lines
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opposite, reciprocal slope
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Circle Formula
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(x - h)² + (y - k)² = r² ....
where (h,k) is the center and r is the radius |
