Geometry - Chapter 8 (trig) flashcard

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). Formula: a² + b² = c².

Front

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

Back

The adjacent side is the side next to the angle of interest in a right triangle, excluding the hypotenuse.

Front

How do you find the height of an object using trigonometry?

Back

You can find the height of an object by using the tangent function: height = distance from the object × tan(angle).

Front

What is the sine function in trigonometry?

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 in trigonometry?

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 in trigonometry?

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 solve for a missing angle in a right triangle?

Back

You can use the inverse trigonometric functions: sin⁻¹, cos⁻¹, or tan⁻¹, depending on the known sides.

Front

What is the relationship between the angles in a triangle?

Back

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

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 formula for the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 × base × height.