WorksheetsRight Triangle Review
Total questions: 26
Worksheet time: 7hrs 30mins
Name
Class
Date
1.
In a 30-60-90 triangle, if the shortest leg is 4 units, what is the hypotenuse and longer leg?
a)
4√3, 8
b)
8, 4√3
c)
16, 8√3
d)
4, 8√3
2.
What is the Pythagorean Theorem?
a)
a²+c²=b²
b)
c²+b²=a²
c)
a²+b²=c²
d)
a²-b²=c²
3.
In a triangle with 1 leg having a measure of 16 cm and the other leg having a measure of 20 cm, what is the measure of the hypotenuse? (In simplest radical form)
a)
4√41
b)
25.61
c)
2√164
d)
4√164
4.
How long is the hypotenuse of a 45-45-90 triangle, how long is the hypotenuse if each leg is 5 units?
a)
10 units
b)
5 units
c)
15 units
d)
5√2 units
5.
Which group of side lengths could form a triangle?
a)
3,6,9
b)
4,5,8
c)
10,12,24
d)
3,5,8
6.
Which group of side lengths could form a triangle?
a)
3,6,9
b)
4,5,8
c)
10,12,24
d)
3,5,8
7.
Which group of side lengths could form a right triangle?
a)
4,5,7
b)
6,8,10
c)
9,10,11
d)
3,4,-5
8.
In a right triangle, if one angle is 40 degree then the other two angles will be 90 and 50 degrees.
a)
True
b)
False
9.
What are the two kinds of special right triangles?
a)
30,60,90 and 50,40,90
b)
45,45,90 and 20,70,90
c)
35,55,90 and 30,60,90
d)
45,45,90 and 30,60,90
10.
In right triangle ABC, the measure of angle A is 40 degrees and the measure of angle C is 90 degrees. Side BC is x units, and side AB is 13 units. What is the measure of side BC? (to the nearest hundredth.)
a)
8.4 units
b)
8.36 units
c)
8 units
d)
9 units
11.
In a 30,60,90 triangle, the length of the shorter is 5 units. What is the hypotenuse and longer leg?
a)
10 units and 5√3 units
b)
5√3 units and 10 units
c)
10 units and 5√2 units
d)
5√2 units and 10 units
12.
What is the hypotenuse (in simplest radical form) if a right triangle has side lengths 10 units and 5 units?
a)
5√5
b)
50
c)
10√2
d)
10√5
13.
In right triangle ABC, angle A is x degrees and angle C is 90 degrees. Side AC is 10 units and side BC is 7 units. What is the measure of the angle? (To the nearest degree.)
a)
34 degrees
b)
34.99 degrees
c)
35 degrees
d)
36 degrees
14.
True or false, a triangle is right if the sum of the 2 legs is greater than the length of the hypotenuse.
a)
True
b)
False
15.
Solve for x to the nearest degree. Then, using that degree, solve for h to the nearest unit.
a)
x=54 degrees h=10.02 units
b)
x=53.13 degrees h=10.017 units
c)
x=53 degrees h=10 units
d)
x=53 degrees h=11
16.
Solve for a and c.
a)
a=2 c=2√3
b)
a=2 c=2√2
c)
a=4 c=2
d)
a=2 c=4
17.
Solve for x (to the nearest centimeter.)
a)
40 cm
b)
40.1 cm
c)
50 cm
d)
35 cm
18.
Solve for x to the nearest cm, then solve for the unknown angle (y) to the nearest degree.
a)
x=78 cm
b)
x=79 cm y=68 degrees
c)
x=78 cm y=69 degrees
d)
y=69 degrees
19.
B is a right angle. Solve for x and y to the nearest hundredth.
a)
y=40 x=23.33
b)
y=50 x=23.33
c)
y=40 x=36.67
d)
y=50 x=36.67
20.
A tree casts a 75 foot shadow. The angle of elevation from the ground to the top of the tree is 40 degrees. How tall is the tree? (To the nearest foot.)
a)
h=62.9 feet
b)
h=62.9
c)
h=63
d)
h=63 feet
21.
If the angle of elevation from a bird looking at a person on top of a building 45 degrees, what is the angle of depression?
a)
45 degrees
b)
50 degrees
c)
90 degrees
d)
40 degrees
22.
A person is on top of a building looking down to a bird on the ground. The angle of depression is 50 degrees and the bird is standing 15 feet from the building. How tall is the building? (To the nearest foot.)
a)
17.88 feet
b)
18 feet
c)
17.87 feet
d)
18.87 feet
23.
What is the measure of the other angle in the triangle in the previous question?
a)
40 degrees
b)
45 degrees
c)
50 degrees
d)
90 degrees
24.
What is the angle of elevation in the picture shown? (To the nearest degree.)
a)
16 degrees
b)
17 degrees
c)
16.69 degrees
d)
18 degrees
25.
Find x to the nearest hundredth.
a)
x=60 m
b)
y=59.3 m
c)
x=59.3 m
d)
y=60 m
26.
Solve for x to the nearest hundredth of a mile.
a)
x=7.46 mi
b)
y=7.46 mi
c)
x=8 mi
d)
x=7 mi
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