Question

Drag the label for the length of the sides of the triangle shown that would satisfy the following conditions: cos(B) = 9/41

tan (C) = 9/40 Not all choices will be needed
Trigonometry

Answer 1

Answers:

• AB = 9 (vertical leg)
• AC = 40 (horizontal leg)
• BC = 41 (hypotenuse

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Step-by-step explanation:

We're told that

cos(B) = 9/41

Since the cosine ratio involves adjacent/hypotenuse, we can see that the adjacent side is 9 and the hypotenuse is 41. For angle B, the adjacent side is the leg closest to the angle in question. So that would be side AB.

Therefore, AB = 9 and BC = 41 are the adjacent and hypotenuse for reference angle B.

Apply the pythagorean theorem to solve 9^2+x^2 = 41^2, and you should get x = 40. This is the other leg of the triangle. Or you could note how tan(C) = 9/40 to imply that AC = 40 is the adjacent side for reference angle C.