Finding Missing Sides and Angles Right Triangle Trig Review

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What is the Pythagorean Theorem?

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The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Formula: a² + b² = c².

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How do you find the length of a missing side in a right triangle?

Back

To find a missing side, use the Pythagorean Theorem. If you know two sides, rearrange the formula to solve for the missing side.

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What is the sine function in relation to a right triangle?

Back

The sine function (sin) is the ratio of the length of the opposite side to the length of the hypotenuse. Formula: sin(θ) = opposite/hypotenuse.

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What is the cosine function in relation to a right triangle?

Back

The cosine function (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse. Formula: cos(θ) = adjacent/hypotenuse.

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What is the tangent function in relation to a right triangle?

Back

The tangent function (tan) is the ratio of the length of the opposite side to the length of the adjacent side. Formula: tan(θ) = opposite/adjacent.

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How do you find an angle in a right triangle using trigonometric ratios?

Back

To find an angle, use the inverse trigonometric functions: sin⁻¹, cos⁻¹, or tan⁻¹, depending on the known sides.

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What is the relationship between the angles in a right triangle?

Back

In a right triangle, the sum of the three angles is always 180 degrees, and one angle is always 90 degrees.

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What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

How do you round an angle to the nearest tenth?

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To round an angle to the nearest tenth, look at the hundredths place. If it's 5 or more, round up; if it's less than 5, round down.

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What is the formula for finding the area of a right triangle?

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The area (A) of a right triangle can be found using the formula: A = (1/2) * base * height.