Question 1

Given the right triangle in the image, if $$a = 5$$ and $$b = 12$$, what is the length of the hypotenuse $$c$$?

Accepted Answer

$$c = 13$$

Question 2

If angle $$A in $$the triangle is $$30^\circ$$ and $$c = 10$$, what is the length of side $$a ($$opposite angle $$C$$)?

Accepted Answer

$$a = 5$$

Question 3

Which trigonometric ratio correctly represents $$\sin A in $$the triangle?

Accepted Answer

$$\sin A = \frac{b}{a}$$

Question 4

If $$b = 9$$ and $$c = 15$$, what is the value of $$\cos A$$?

Accepted Answer

$$\cos A = \frac{9}{15}$$

Question 5

If $$a = 7$$ and $$b = 24$$, what is the value of $$	an B$$?

Accepted Answer

$$	an B = \frac{7}{24}$$

Question 6

If $$c = 10$$ and $$b = 6$$, what is the value of $$\sin C$$?

Accepted Answer

$$\sin C = 0$$

Question 7

If $$a = 8$$ and $$c = 17$$, what is the value of $$\cos B$$?

Accepted Answer

$$\cos B = \frac{15}{17}$$

Question 8

If $$a = 9$$ and $$b = 12$$, what is the area of the triangle?

Accepted Answer

$$	ext{Area} = 54$$

Question 9

If $$a = 15$$ and $$b = 20$$, what is the value of $$c$$?

Accepted Answer

$$c = 25$$

Question 10

If $$\angle B = 90^\circ$$, $$a = 5$$, and $$b = 12$$, what is $$	an A$$?

Accepted Answer

$$	an A = \frac{5}{12}$$

Right Triangle Relationships and Solving for Sides/Angles

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