Free Printable Right Triangle Trig

1.

A right triangle has sides of length 4 and 6. What is the length of the hypotenuse?

a)

$4\sqrt{13}$

b)

$2\sqrt{13}$

c)

$13\sqrt{2}$

d)

$\sqrt{13}$

2.

A right triangle has a side length of 8 and a hypotenuse of 12. What is the length of the other side?

a)

$2\sqrt{5}$

b)

$4$

c)

$4\sqrt{13}$

d)

$4\sqrt{5}$

3.

Solve for side c.

a)

$c=12$

b)

$c=6\sqrt{3}$

c)

$c=2\sqrt{3}$

d)

$c=6\sqrt{2}$

4.

Solve for side b.

a)

$b=\frac{8\sqrt{3}}{3}$

b)

$b=4$

c)

$b=8\sqrt{3}$

d)

$b=4\sqrt{2}$

5.

What is the length of sides a and b?

a)

$a=6\sqrt{5},\ b=6\sqrt{5}$

b)

$a=6\sqrt{5},\ b=3\sqrt{5}$

c)

$a=3\sqrt{5},\ b=3\sqrt{5}$

d)

$a=3\sqrt{5},\ b=6\sqrt{5}$

6.

What is the length of sides a and c?

a)

$a=x\sqrt{3},\ c=x\sqrt{2}$

b)

$a=x\sqrt{2},\ c=2x$

c)

$a=2x,\ c=x\sqrt{3}$

d)

$a=x\sqrt{3},\ c=2x$

7.

Solve for x in the triangle.

a)

$x=-4,\ x=1$

b)

$x=-1,\ x=4$

c)

$x=1$

d)

$x=4$

8.

Solve for side b.

a)

$b=3.4$

b)

$b=9.4$

c)

$b=3.6$

d)

$b=9.6$

9.

Solve for side a.

a)

$a=.02$

b)

$a=54.7$

c)

$a=49.2$

d)

$a=26.7$

10.

Solve for angle b.

a)

$B=34^o$

b)

$B=56.3^o$

c)

$B=48.2^o$

d)

No solution.

11.

Solve for angle A.

a)

$A=68^o$

b)

$A=20.6^o$

c)

$A=22^o$

d)

$A=30^o$

12.

Which of the 3 sides shown do NOT create a right triangle?

a)

3,4,5

b)

4,5,6

c)

6,8,10

d)

5,12,13

13.

Which of the ways below will NOT solve for side c?

a)

$c=\sqrt{a^2+b^2}$

b)

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

c)

$c=\frac{\tan\ A}{a}$

d)

$c=\frac{a}{\cos\ B}$

14.

Solve: $\sin\ \theta=\frac{1}{\sqrt{3}}$

a)

$\theta=35.3^o$

b)

$\theta=54.7^o$

c)

$\theta=30^o$

d)

No solution.

Right Triangle Trig

Total questions: 14

Worksheet time: 28mins

Similar Resources on Wayground