Right Triangle Unit 5 Exam

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: c² = a² + b².

Front

How do you find the geometric mean of two numbers?

Back

The geometric mean of two numbers a and b is calculated as √(a * b).

Front

What type of triangle has one angle greater than 90 degrees?

Back

An obtuse triangle.

Front

What is the formula for finding the height of a right triangle using the angle of elevation?

Back

Height = Distance * tan(angle of elevation).

Front

If one side of a right triangle is 10 and the other is 20, what is the length of the hypotenuse?

Back

The hypotenuse is √(10² + 20²) = √500 = 10√5.

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

How do you determine if three sides can form a triangle?

Back

The sum of the lengths of any two sides must be greater than the length of the third side (Triangle Inequality Theorem).

Front

What is the relationship between the angles in a right triangle?

Back

The sum of the angles in any triangle is 180 degrees. In a right triangle, one angle is 90 degrees, so the other two angles must sum to 90 degrees.

Front

How do you find the horizontal distance in a right triangle given the height and angle of elevation?

Back

Use the formula: Horizontal Distance = Height / tan(angle of elevation).

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.