Key Vocabulary & Terms | Key Concepts, Theorems, Postulates, etc | |
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a triangle that has all angles less than 90°
Acute triangles
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n a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of legs:in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of legs
Theorem 7.1 Pythagorean Theorem
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At last 2 congruent sides.
Isosceles Triangle
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If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides, then the triangle ABC is an acute triangle.
Theorem 7.3
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acute triangle
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in q right triangle, the sides adjacent to the the right triangle
Leg of a right triangle
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the hypotenuse is square root of two times as long as each leg. hypotenuse = leg times squaw root of two
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Theorem 7.8 45-45-90 triangle
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an___________ is the perpendicular segment from a vertex on the opposite side or to the line that contains the opposite side
Altitude of a triangle
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if the square of the length of the longest side of a triangle is greater than the sum of the squares of the lengths of the other two sides.then the triangles is an obtuse triangle.
Theorem 7.4
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is a set of three positive integers a,b,c that satisfy the equation a2 + b2 = c2
Pythagorean Triple
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if the square of the lengths of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides, then the triangle is an acute triangle.
Theorem 7.3
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