Solving Right Triangles

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 hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

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

Back

You can use sine, cosine, or tangent ratios to find the lengths of the sides. For example, sin(θ) = opposite/hypotenuse, cos(θ) = adjacent/hypotenuse, and tan(θ) = opposite/adjacent.

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 side opposite the angle 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 side adjacent to the angle 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 side opposite the angle to the length of the side adjacent to the angle.

Front

How do you calculate the missing angle in a right triangle?

Back

You can calculate the missing angle using the fact that the sum of the angles in a triangle is 180 degrees. In a right triangle, the other two angles must sum to 90 degrees.

Front

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

Back

The larger the angle, the longer the side opposite that angle. Conversely, the smaller the angle, the shorter the side opposite that angle.

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.