Identifying Opposite, Adjacent, and Hypotenuse

Front

What is the definition of the hypotenuse in a right triangle?

Back

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

Front

In a right triangle, what are the two sides that form the right angle called?

Back

The two sides that form the right angle are called the legs.

Front

What is the side opposite to an angle in a triangle?

Back

The side opposite to an angle is the side that does not touch the angle.

Front

In triangle ABC, if ∠A is 90 degrees, which side is the hypotenuse?

Back

The hypotenuse is the side opposite ∠A, which is side BC.

Front

If side AC is adjacent to ∠A in triangle ABC, what is the opposite side?

Back

The opposite side is side BC.

Front

What is the relationship between the hypotenuse and the legs in a right triangle?

Back

The square of the hypotenuse is equal to the sum of the squares of the legs (Pythagorean theorem).

Front

In triangle PQR, if PQ = 5, QR = 12, what is the length of PR (hypotenuse)?

Back

Using the Pythagorean theorem: PR = √(PQ² + QR²) = √(5² + 12²) = √(25 + 144) = √169 = 13.

Front

What is the formula to find the length of the hypotenuse?

Back

The formula is c = √(a² + b²), where c is the hypotenuse and a and b are the lengths of the legs.

Front

In triangle XYZ, if ∠Y is 30 degrees, which side is opposite to ∠Y?

Back

The side opposite to ∠Y is side XZ.

Front

What is the definition of adjacent side in a triangle?

Back

The adjacent side is the side that forms an angle with the reference angle and is not the hypotenuse.