Special Right Triangle s Trigonomet ric Ratios Pythagorean Theorem Q: $1 00 Q: $100 Q: $100 Q: $200 Q: $200 Q: $200 Q: $300 Q: $300 Q: $300 Q: $400 Q: $400 Q: $400
Special Right Triangles Trigonometric Ratios Pythagorean Theorem Q: $100 Q: $200 Q: $300 Q: $400.
Dec 14, 2015
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SpecialRight
Triangles
Trigonometric Ratios
Pythagorean Theorem
Q: $100 Q: $100 Q: $100
Q: $200 Q: $200 Q: $200
Q: $300 Q: $300 Q: $300
Q: $400 Q: $400 Q: $400
Pythagorean Theorem for $100
Find the value of y.
24
18y
Pythagorean Theorem for $100 Answer
y = 30
Pythagorean Theorem for $200
In triangle below a right triangle? Explain.
1111√3
11
Pythagorean Theorem for $200 Answer
No, because the side lengths do not fit into the Pythagorean Theorem. In other words, a² + b² ≠ c² with the given side lengths from
this triangle.
Pythagorean Theorem for $300
Find the value of y.
√856
y
Pythagorean Theorem for $300 Answer
y=7
Pythagorean Theorem for $400
A square has diagonal length of 10√2 yards. What is the perimeter of the square?
Pythagorean Theorem for $400 Answer
40 yards
Special Right Triangles for $100
60
36 30
x
Find the value of each variable. If your answer is not an integer, express it in simplest radical
form.
Special Right Triangles for $100 Answer
x=18
Special Right Triangles for $200
45
45
y
Find the value of y.
If your answer is not an integer, express it in simplest radical
form.
3
Special Right Triangles for $200 Answer
y = 3√2
Special Right Triangles for $300
An equilateral triangle has the height of 27 cm. What is the length of each
side of the triangle? (Leave your answer as a simplified radical)
Special Right Triangles for $300 Answer
9√3 meters
Special Right Triangles for $400
60
b
a
30
10√3
Find the value of each variable. If your answer is not an integer, round to the nearest hundredth.
Special Right Triangles for $400 Answer
a=15b=21.33
Trigonometric Ratios for $100
Find the value of x. Round to the nearest tenth.
55
x
33
Trigonometric Ratios for $100 Answer
x=47.1
Trigonometric Ratios for $200
Find the value of x. Round to the nearest tenth.
8.9
x5.4
Trigonometric Ratios for $200 Answer
x=54.65˚
Trigonometric Ratios for $300
5.5
w x45 35
Find the value of w and then x. Round lengths to the nearest tenth.
Trigonometric Ratios for $300 Answer
w=5.5x=2.4
Trigonometric Ratios for $400
Why is Tan (45) = 1?
Trigonometric Ratios for $400 Answer
Tangent is the ratio of the opposite side over the adjacent side. In a 45-45-90 triangle, these two
sides, or legs, are congruent (since this is an isosceles triangle). Therefore, the ratio of these
sides is 1.
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