Special Right Triangles Trigonometric Ratios Pythagorean Theorem Q: $100 Q: $200 Q: $300 Q: $400.

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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

Transcript of Special Right Triangles Trigonometric Ratios Pythagorean Theorem Q: $100 Q: $200 Q: $300 Q: $400.

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.