Trig: Missing Sides and Angles

Front

What is the definition of a right triangle?

Back

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

Front

What is the Pythagorean theorem?

Back

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): a² + b² = c².

Front

How do you find the sine of an angle in a right triangle?

Back

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

How do you find the cosine of an angle in a right triangle?

Back

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

How do you find the tangent of an angle in a right triangle?

Back

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.

Front

What is the formula to find the missing side of a right triangle using trigonometric ratios?

Back

To find a missing side, use the ratios: sin(θ) = opposite/hypotenuse, cos(θ) = adjacent/hypotenuse, tan(θ) = opposite/adjacent.

Front

How do you round a number to the nearest tenth?

Back

To round to the nearest tenth, look at the hundredths place. If it is 5 or greater, round up; if it is less than 5, round down.

Front

What is the definition of an angle?

Back

An angle is formed by two rays (sides) that share a common endpoint (vertex).

Front

What is the difference between acute, obtuse, and right angles?

Back

An acute angle is less than 90 degrees, a right angle is exactly 90 degrees, and an obtuse angle is greater than 90 degrees but less than 180 degrees.