Hypotenuse, Opposite, or Adjacent

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 can you identify the hypotenuse of any right triangle?

Back

The hypotenuse is the side directly across from the right angle.

Front

What is the definition of the opposite side in a right triangle?

Back

The opposite side is the side opposite to the angle being referenced.

Front

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

Back

The adjacent side is the side next to the angle being referenced, excluding the hypotenuse.

Front

In a right triangle with angles A, B, and C, which side is opposite angle A?

Back

The side opposite angle A is the side that does not touch angle A.

Front

If the lengths of the two legs of a right triangle are 5 and 12, what is the length of the hypotenuse?

Back

Using the Pythagorean theorem: hypotenuse = √(5² + 12²) = 13.

Front

What is the Pythagorean theorem?

Back

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

Front

If angle Z is 30 degrees, and the length of the adjacent side is 16, what is the length of the hypotenuse?

Back

Using cosine: hypotenuse = adjacent / cos(Z) = 16 / cos(30°) = 16 / (√3/2) = 32/√3.

Front

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

Back

The side lengths are proportional to the sine, cosine, and tangent of the angles.

Front

If the hypotenuse is 10 and one leg is 6, what is the length of the other leg?

Back

Using the Pythagorean theorem: other leg = √(10² - 6²) = √(100 - 36) = √64 = 8.