Right Triangles and Similar Triangles 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): a² + b² = c².

Front

What is the sine function in relation to a right triangle?

Back

The sine function is the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Front

What is the cosine function in relation to a right triangle?

Back

The cosine function is the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Front

What is the tangent function in relation to a right triangle?

Back

The tangent function is the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Front

How do you find the height of an object using similar triangles?

Back

You can find the height of an object by setting up a proportion using the lengths of corresponding sides of similar triangles.

Front

What is the relationship between the angles and sides in similar triangles?

Back

In similar triangles, corresponding angles are equal, and the lengths of corresponding sides are proportional.

Front

What is an example of using the Pythagorean Theorem?

Back

If one side of a right triangle is 3 cm and the other side is 4 cm, the hypotenuse can be found using a² + b² = c²: 3² + 4² = c², so c = 5 cm.

Front

What is the formula for finding the area of a right triangle?

Back

The area of a right triangle can be found using the formula: Area = (1/2) * base * height.

Front

What is the definition of a hypotenuse?

Back

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