Right Triangle Trig REVIEW

Front

What is the Pythagorean Theorem?

Back

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 sine function in a right triangle?

Back

The sine of an angle (A) is the ratio of the length of the opposite side to the length of the hypotenuse. Formula: sin(A) = opposite/hypotenuse.

Front

What is the cosine function in a right triangle?

Back

The cosine of an angle (A) is the ratio of the length of the adjacent side to the length of the hypotenuse. Formula: cos(A) = adjacent/hypotenuse.

Front

What is the tangent function in a right triangle?

Back

The tangent of an angle (A) is the ratio of the length of the opposite side to the length of the adjacent side. Formula: tan(A) = opposite/adjacent.

Front

If one side of a right triangle is 3 cm and the other is 4 cm, what is the length of the hypotenuse?

Back

5 cm (using the Pythagorean theorem: 3² + 4² = 5²).

Front

What is the relationship between the lengths of the sides of a triangle?

Back

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

How do you find the length of a missing side in a right triangle?

Back

Use the Pythagorean theorem or trigonometric ratios (sine, cosine, tangent) depending on the information given.

Front

What is the formula to find the area of a right triangle?

Back

Area = (1/2) * base * height.

Front

What is the definition of a right triangle?

Back

A triangle that has one angle measuring 90 degrees.

Front

If the hypotenuse of a right triangle is 10 feet, what can you say about the lengths of the other two sides?

Back

The sum of the lengths of the two shorter sides must be less than 10 feet.