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

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Presentation transcript:

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

Pythagorean Theorem for $100 Find the value of y y

Pythagorean Theorem for $100 Answer y = 30

Pythagorean Theorem for $200 In triangle below a right triangle? Explain √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. √85 6 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 $ 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 $ 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 $ 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=15 b=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 x 5.4

Trigonometric Ratios for $200 Answer x=54.65˚

Trigonometric Ratios for $ w x 4535 Find the value of w and then x. Round lengths to the nearest tenth.

Trigonometric Ratios for $300 Answer w=5.5 x=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 triangle, these two sides, or legs, are congruent (since this is an isosceles triangle). Therefore, the ratio of these sides is 1.