Right Triangles & Trigonometry

Front

What is 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?

Back

The sine function (sin) is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Front

What is the cosine function?

Back

The cosine function (cos) is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Front

What is the tangent function?

Back

The tangent function (tan) is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Front

How do you find the length of a side in a right triangle using trigonometric ratios?

Back

You can use the appropriate trigonometric function (sine, cosine, or tangent) based on the known sides and the angle to set up an equation and solve for the unknown side.

Front

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

Back

In a right triangle, the side opposite the largest angle is the longest side (the hypotenuse), and the side opposite the smallest angle is the shortest side.

Front

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

Back

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

Front

What is the definition of the adjacent side in a right triangle?

Back

The adjacent side is the side that forms one of the angles of the triangle, excluding the hypotenuse.

Front

What is the definition of the opposite side in a right triangle?

Back

The opposite side is the side that is opposite to the angle being referenced in the triangle.