Right Triangle REVIEW

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

How do you find the length of a side in a right triangle using the Pythagorean theorem?

Back

To find the length of a side, rearrange the Pythagorean theorem formula to solve for the unknown side.

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

If one leg of a right triangle is 12 cm and the other leg is 16 cm, what is the length of the hypotenuse?

Back

Using the Pythagorean theorem: c² = 12² + 16²; c² = 144 + 256; c² = 400; c = 20 cm.

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

Front

How do you calculate the height of an object using a right triangle?

Back

Use the tangent function: height = distance from the object * tan(angle).

Front

If the hypotenuse of a right triangle is 25 cm and one leg is 20 cm, what is the length of the other leg?

Back

Using the Pythagorean theorem: b² = 25² - 20²; b² = 625 - 400; b = 15 cm.