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Right Triangle Relationships and Trigonometry — Test Answers

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Which classification best represents a triangle with side lengths 10 in., 12 in., and 15 in.?

A
obtuse, because 12 squared plus 15 squared is greater than 10 squared
B
acute, because 12 squared plus 15 squared is greater than 10 squared
C
obtuse, because 10 squared plus 12 squared is greater than 15 squared
D
acute, because 10 squared plus 12 squared is greater than 15 squared
23
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In which triangle is the value of x equal to tangent inverse of open paren 3 point 1 over 5 point 2 close paren ? (Images may not be drawn to scale.)

A
Image with description A right triangle is shown. The length of the hypotenuse is 5 point 2 and the length of the side adjacent to the right angle is 3 point 1. The angle opposite to the side with length 3 point 1 is labeled as x.
B
Image with description A right triangle is shown. The length of the hypotenuse is 5 point 2 and the length of the side adjacent to the right angle is 3 point 1. The angle between the 2 sides is labeled as x.
C
Image with description A right triangle is shown. The length of 2 sides are 5 point 2 and 3 point 1. The angle opposite to side with length 3 point 1 is labeled as x.
D
Image with description A right triangle is shown. The length of the 2 sides are 5 point 2 and 3 point 1. The angle opposite to the side with length 5 point 2 is labeled as x.
24

What is the exact value of cotangent of open paren 3 pi over 4 close paren ?

A
negative square root of 2
B
square root of 2
C
negative 1
D
1
25

If cosecant theta is equal to 8 sevenths , which equation represents cotangent theta ?

A
cotangent theta is equal to the fraction with numerator square root of 15 and denominator 8
B
cotangent theta is equal to the fraction with numerator square root of 15 and denominator 7
C
cotangent theta is equal to the fraction with numerator 7 square root of 15 and denominator 15
D
cotangent theta is equal to the fraction with numerator 8 square root of 15 and denominator 15

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