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Geometry Unit 7

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Question
Answer
Pythagorean Theorem   In a right triangle, thesum of the squares of the lengths of the legs is equal to thesquare of the length of the hypotenuse.  
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Pythagorean Triple   is a set of nonzero whole numbers a, b,and c that satisfy the equation  
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Converse of Pythagorean Theorem   If thesquare of the length of one side of a triangle is equal to the sumof the squares of the lengths of the other two sides, then thetriangle is a right triangle.  
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Theorem 7-6   If the square of the length of the longest side ofa triangle is greater than the sum of the square of the lengthsof the other two sides, the triangle is obtuse.  
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Theorem 7-7   If the square of the length of the longest side ofa triangle is less than the sum of the squares of the lengths ofthe other two sides, the triangle is acute  
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45-45-90 Triangle Theorem   In a 45-45-90triangle, both legs are congruent and the length of thehypotenuse is 2 times the length of a leg.  
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30-60-90 Triangle Theorem   In a 30-60-90triangle, the length of the hypotenuse is twice the length of theshorter leg. The length of the longer leg is 3 times the lengthof the shorter leg.  
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Tangent   length of leg opposite to anglelength of leg adjacent to angle  
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Sine   leg opposite to anglehypotenuse  
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Cosine   leg adjacent to anglehypotenuse  
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Angle of Elevation   lower angle  
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Angle of Depression   upper angle  
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Created by: BGuice
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