Simplifying Radicals
Missing Sides of Triangles
Area of Triangle
Factoring/Quad. Formula
Word Problems
100
Simplify √105
√105
100
8 
6
Hypotenuse=10
100
10
15
Area of half the triangle?
37.5
100
a2 -9a -36 = 0
a = 12, -3
100
What is square root of 192 simplified?
8√3
200
√294
7√6
200
Hypotenuse = 24
Leg Measures?
12√2
200
13
12
Area?
30 un2
200
x2 = -14 + 9x
x = 7, 2
200
Find the perimeter of a 45-45-90 triangle with a hypotenuse of 8.
8√2+8
300
√24+√28+√54
5√6+2√7
300
15
Find the missing sides
Other leg = 5√3
Hypotenuse = 10√3
300
12 
5
Included Angle = 27
Area?
13.6 un2
300
2x2 -14x + 24 = 0
x= 4, 3
300
A 16 foot ladder leans against the side of a building. The foot of the ladder rests 4 feet away from the building. What is the angle the ladder and the ground form?
76 degrees
400
-3√18-√27+5√8
√2-3√3
400
Indicated Angle = 33
Hypotenuse = 40
What is the measure of the vertical side?
21.8
400
49
11
Area?
17.0
400
8x2 + 14x -15 = 0
x = 3/4, -5/2
400
A person is standing 560 feet away from the base of a building. The angle of elevation is 27 degrees. How tall is the building?
285.3 ft
500
-√154+√150+√42-√216-√72
-6√2-√154+√+√42-√6
500
Diagonal Measure = 12
Angle BDA = 60
What is the area of the rectangle?
Area = 36√3 un2
500
Height = 5
Area?
14.4 un2
500
9x = 10 + 2x2
x = 2, 2.5
500
From the top of a lighthouse, an observer sees a boat at an angle of depression of 18 degrees. The height of the lighthouse is 147 feet. How far away is the boat?
452.4 ft