F24 Right Triangles Review

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): a² + b² = c².

Front

How do you find the area of a triangle?

Back

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

Front

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, with one angle being 90 degrees.

Front

What is 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

What is 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

What is 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

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

Back

You can use the sine, cosine, or tangent ratios to find the length of a side by rearranging the formulas: opposite = hypotenuse * sin(angle), adjacent = hypotenuse * cos(angle), or opposite = adjacent * tan(angle).

Front

What is the formula for the area of a rhombus?

Back

The area of a rhombus can be calculated using the formula: Area = (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals.

Front

How do you calculate the height of a right triangle given the angle and the length of the hypotenuse?

Back

Height can be calculated using the formula: height = hypotenuse * sin(angle).