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Math Quiz - Trigonometry


Covering: trigonometry, which will be on trigonometric functions and ratios, Pythagorean theorem, and special right triangles (30-60-90 and 45-45-90).

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1. A right triangle has legs of lengths 9 cm and 12 cm. What is the length of the hypotenuse?

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2. A right triangle has one angle measuring 30° and a side length of 4 cm opposite the 30° angle. Find the length of the hypotenuse.

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3. A right triangle has one angle measuring 45° and a hypotenuse of length 12√2 cm. What is the length of the side opposite the 45° angle?

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4. Given a right triangle with angles A = 90°, B = β, and C = γ, and side lengths a, b, and c, if sin(β) = a/c and cos(γ) = a/c, what type of right triangle is it?

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5. In a right triangle JKL, angle J = 90° and angle K = 60°. The perimeter of triangle JKL is 30 cm. Find the length of side KL.

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