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Select the true statement about triangle abc?

Select the true statement about triangle abc?-example-1

2 Answers

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Sin(opposite)/(hypotenuse)Cos(adjacent)/(hypotenuse) Tan(opposite)/(adjacent)


The hypotenuse is the longest side of the triangle. The opposite side is the side across from a point/angle. The adjacent side is the side next to the point.

At point A, AC is the hypotenuse, BC is the opposite, AB is the adjacent.


cos A = 12/13


A.) sin C = 12/13 This is the answer

B.) sin B, the opposite is 13, and the hypotenuse is 13

C.) tan C = 12/5

D.) cos C = 5/13

User Kwisatz
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ANSWER

The true statement is that,


\cos(A) = \sin(C)


Step-by-step explanation

∆ABC is a right angle triangle, with


hypotensuse = 13 \: units

The side adjacent to angle A is

12 \: \: units


The cosine ratio is given by

\cos(A) = (length \: of \: adjacent \: side)/(hypotenuse)


This implies that,


\cos(A) = (12)/(13)

The length of the side opposite to angle C is

12 \: units


The sine ratio is,


\sin(C) = (length \: of \: opposite \: side)/(hypotenuse)


\sin(C) = (12)/(13)


We can see that the two ratios are the same therefore,



\cos(A) = \sin(C)
The correct answer is option A.

User Rollen
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7.1k points