Free Printable Right Triangle Trigonometry

1.

What is the hypotenuse of a right triangle with legs of 5 cm and 12 cm?

a)

13 cm

b)

7 cm

c)

11 cm

d)

15 cm

2.

Which of these three sides would form a right triangle.

a)

8 feet

b)

15 feet

c)

5 feet

d)

17 feet

3.

What is the hypotenuse of a triangle with legs of 8 inches and 6 inches?

(a)

4.

Using our method of creating Pythagorean triples, what are the other two sides of a right triangle with a short side of 7 meters? (hint: the two closest addends)

a)

24 meters

b)

25 meters

c)

49 meters

d)

14 meters

5.

What is the hypotenuse of a triangle with a short leg of 3 feet and a long leg of 5 feet?

a)

$\sqrt{34}\ \ feet$

b)

$9\ feet$

c)

$\sqrt{43}\ \ \ feet$

d)

$\sqrt{81}\ \ feet$

6.

What is the hypotenuse of a right triangle with the other two sides of 10 feet and 24 feet?

(a)

7.

Which of these is the sine ratio?

a)

$\frac{opposite}{adjacent}$

b)

$\frac{adjacent}{opposite}$

c)

$\frac{opposite}{hypotenuse}$

d)

$\frac{adjacent}{hypotenuse}$

8.

The cosine ratio is the (a) divided by the hypotenuse?

9.

In an 8, 15, 17 right triangle, angle A is the smallest angle. What is the sine of Angle A? sin A =

a)

$\frac{8}{15}$

b)

$\frac{8}{17}$

c)

$\frac{15}{17}$

d)

$\frac{17}{8}$

10.

I have an unknown right triangle, which of these could be the cosine of that triangle?

a)

$\frac{5}{13}$

b)

$\frac{12}{5}$

c)

$\frac{5}{3}$

d)

$\frac{17}{8}$

11.

Which of these is the hypotenuse of a triangle with two sides of 9 and 40?

a)

41

b)

39

c)

51

d)

55

12.

If the two legs of a triangle are 5 inches and 7 inches. The hypotenuse is the square root of (a) inches.

13.

The hypotenuse of a right triangle is 15 cm and its shortest leg is 7 cm. What is the EXACT length of the other leg?

a)

$\sqrt{176}\ \ cm$

b)

$\sqrt{144}\ \ cm$

c)

$8\ cm$

d)

$\sqrt{274}\ \ cm$

14.

What is x?

a)

$\sqrt{115}$

b)

$\sqrt{196}$

c)

$4$

d)

$16$

15.

What is the sine of angle t?

a)

$\frac{33}{65}$

b)

$\frac{65}{33}$

c)

$\frac{56}{65}$

d)

$\frac{33}{56}$

Right Triangle Trigonometry

Total questions: 15

Worksheet time: 28mins

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