Review - Right Triangle Trig.

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 are the three sides of a right triangle called?

Back

The three sides are called the hypotenuse (the longest side), the opposite side (the side opposite the angle of interest), and the adjacent side (the side next to the angle of interest).

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. (a² + b² = c²)

Front

Which trigonometric function is used to find the ratio of the opposite side to the hypotenuse?

Back

Sine (sin) is used to find the ratio of the opposite side to the hypotenuse.

Front

Which trigonometric function is used to find the ratio of the adjacent side to the hypotenuse?

Back

Cosine (cos) is used to find the ratio of the adjacent side to the hypotenuse.

Front

Which trigonometric function is used to find the ratio of the opposite side to the adjacent side?

Back

Tangent (tan) is used to find the ratio of the opposite side to the adjacent side.

Front

If the hypotenuse is 10 m and the adjacent side is 8 m, what is the cosine of the angle?

Back

Cosine = adjacent/hypotenuse = 8/10 = 0.8.

Front

How do you find the length of the hypotenuse if you know the lengths of the other two sides?

Back

Use the Pythagorean theorem: c = √(a² + b²).

Front

What is the angle of elevation?

Back

The angle of elevation is the angle formed by the horizontal line and the line of sight to an object above the horizontal.

Front

How do you calculate the angle of a right triangle using trigonometric functions?

Back

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