Trig find missing side

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): c² = a² + b².

Front

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

Back

The sine of an angle in a right triangle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

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

Back

The cosine of an angle in a right triangle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

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

Back

The tangent of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

How do you find the length of a side using the sine function?

Back

To find the length of a side using the sine function, use the formula: sin(angle) = opposite/hypotenuse. Rearranging gives: opposite = hypotenuse * sin(angle).

Front

How do you find the length of a side using the cosine function?

Back

To find the length of a side using the cosine function, use the formula: cos(angle) = adjacent/hypotenuse. Rearranging gives: adjacent = hypotenuse * cos(angle).

Front

How do you find the length of a side using the tangent function?

Back

To find the length of a side using the tangent function, use the formula: tan(angle) = opposite/adjacent. Rearranging gives: opposite = adjacent * tan(angle).

Front

What does it mean to 'solve a triangle'?

Back

To 'solve a triangle' means to find the lengths of all sides and the measures of all angles in the triangle.

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.