Geometric

1
Geometric Means
Special Right Triangles
Trigonometry Ratios
Word Problems More
Pythagorean Theorem
100
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100
200
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300
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400
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400
500
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2
Geometric Means - 100
Find x.
x
3
12
Answer x2 36, so x 6
3
Geometric Means - 200
Find x. Round to the nearest tenth.
x
3
12
Answer x2 1512 180, so x 13.4
4
Geometric Means - 300
Find x.
x
20
10
Answer x 5
5
Geometric Means - 400
Find x.
8
x
16
Answer x 4
6
Geometric Means - 500
Find x.
2x 2
5
10
Answer , so x 9
7
Special Right Triangles - 100
Find x. Simplify all radicals (no decimals).
45
x
Answer x 8v2/v2 8
8
Special Right Triangles - 200
Find x. Simplify all radicals (no decimals).
6
30
x
Answer x 6v3
9
Special Right Triangles - 300
Find x. Simplify all radicals (no decimals).
x
45
Answer 2v2v2 4
10
Special Right Triangles - 400
Find x. Simplify all radicals (no decimals).
30
16
x
Answer x 8
11
Special Right Triangles - 500
Find x. Simplify all radicals (no decimals).
30
x
Answer x 16
12
Trig. Ratios - 100
Find tan B as a simplified fraction.
B
39
15
C
36
A
Answer tanB 36/15 12/5 or 2 2/5
13
Trig. Ratios - 200
Write an equation using sin, cos, or tan, and
solve to find x to the nearest tenth.
35
20
x
Answer cos35 x/20, x 16.4
14
Trig. Ratios - 300
Find the measure of angle A to the nearest tenth.
A
15
20
Answer A tan-1 (20/15) 53.1
15
Trig. Ratios - 400
A ladder leaning against a wall makes a 65 angle
with the ground. If the ladder is 8 feet long,
how high up the wall will it reach?
Round to the nearest tenth.
65
Answer sin65 x/8, x 7.3 feet
16
Trig. Ratios - 500
A person standing at the top an 80 foot tall
building looks down at a car parked 200 feet from
the base of the building. What is the angle of
depression to the car? Round to the nearest tenth.
80 ft
200 ft
Answer tan x 200/80, x 68.20
17
Word Problems More - 100
The length of a rectangle is 32 and its width Is
12. Find the length of the diagonal. Round to the
nearest tenth.
Answer 34.2
18
Word Problems More - 200
If the length of the altitude of an
equilateral triangle is 18. What is the length of
one of the sides (reduced radical)?
Answer 12?3
19
Word Problems More - 300
If the angle of elevation to the top of the hill
is 50 degrees and the hill is 40 feet high, how
many feet will Betty have to walk to get back to
the top of the hill? Round to the nearest tenth.
x
40 ft
50?
52.2 feet
20
Word Problems More - 400
Find x, y, z. Reduce all radicals (no decimals).
y
24
30
z
x
Answer x 12?3 y 12 ?2 z 12
21
Word Problems More - 500
You are watching cartoons on a square TV screen
that has a diagonal of 45 in. What is the
perimeter of the TV? Round to the nearest
hundredth.
22
Pythagorean Theorem - 100
Find x. Round to the nearest tenth.
21
11
x
Answer 212 112 x2 x 17.9
23
Pythagorean Theorem - 200
If possible, what type of triangle has side
lengths of 15, 39, 36?
Answer 392 ? 152 362 1521 1521 ?
right triangle
24
Pythagorean Theorem - 300
If possible, what type of triangle has side
lengths of 27,29, 25?
Answer 292 ? 252 272 841 lt 1354 ?
acute triangle
25
Pythagorean Theorem - 400
If possible, what type of triangle has side
lengths of 14, 19, 6?
Answer 192 ? 142 62 361 gt 232 ?
obtuse triangle
26
Pythagorean Theorem - 500
If possible, what type of triangle has side
lengths of 11, 9, 20?
Answer 11 9 20 ? not a triangle at all!