Pythagorean Theorem
3) Find the missing side of each triangle. Leave you answers in simplest radical form.
x = 3√33 or x = 17.2
7) State if each triangle is a right triangle.
13 ≠ 16
Not a right triangle
A: sin(A) = 4/5, cos(A) = 3/5, tan(A) = 4/3
B: sin(B) = 3/5, cos(B) = 4/5, tan(B) = 3/4
16) Find the measure of the indicated angle to the nearest degree.
x = 17 degrees
1) Simplify √256
16
4) Find the length of the missing side. Triangle not drawn to scale.
x = 100
8) State if each triangle is acute, obtuse, or right.
170 = 170
Right triangle
13) Find the missing side. Round to the nearest tenth.
x = 19.1
17) Find the value of x. Round to the nearest degree.
x = 56 degrees
2) Simplify √600
10√6
5) The bottom end at a ramp at a warehouse is 6 feet from the base of the main dock and is 12 feet long. How high is the dock?
x = 6√3 or x = 10.4
9) A triangle has side lengths of 14 cm, 48 cm, and 58 cm. Classify it as acute, obtuse, or right.
2500 < 3364
Acute triangle
14) Find the value of x. Round to the nearest tenth.
x = 8.3
18) Find the value of x to the nearest degree.
x = 63 degrees
11) What is the saying you should remember to help you with trig?
SOH-CAH-TOA
6) Write the correct inequality for each type of triangle.
Right: a2 + b2 ___ c2
Acute: a2 + b2 ___ c2
Obtuse: a2 + b2 ___ c2
Right: a2 + b2 = c2
Acute: a2 + b2 > c2
Obtuse: a2 + b2 < c2
10) triangle has side lengths of 24, 62, and 67. Is it a right triangle?
4420 ≠ 4489
Not a right triangle
15) Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth.
x = 16.5
19) Find the value of x. Round the length to the nearest tenth.
x = 2.9
20) [Lindsay's] eye level is 5.5 feet from the ground and she stands 35 feet from the flagpole. If the angle of elevation is about 35 degrees, what is the height of the flagpole to the nearest tenth?
x = 30 ft