Exploring the Geometric Mean in Section 8.1

What is the sum of the angles in any triangle?

• 270 degrees

• 90 degrees

• 360 degrees

• 180 degrees

What type of angles do the two non-right angles in a right triangle form?

• Obtuse

• Acute

• Straight

• Right

What defines the hypotenuse of a right triangle?

• It is the side with the smallest angle.

• It is the shortest side.

• It is always horizontal.

• It is opposite the right angle.

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

• The hypotenuse is the longest side.

• The hypotenuse is the geometric mean of the legs.

• The legs form a right angle.

• The legs are always equal in length.

What does the term 'geometric mean' refer to in the context of right triangles?

• The average length of the triangle's sides.

• A type of average relevant to triangle proportions.

• The ratio between the legs of the triangle.

• The longest side of the triangle.

How is the geometric mean represented in a proportion involving a right triangle?

• As the numerator in both ratios.

• As the denominator in both ratios.

• As the numerator in one ratio and the denominator in the other.

• In two places diagonally across from each other in the proportion.

What is the geometric mean between two segments of the hypotenuse in a right triangle?

• The sum of the segments.

• The length of the altitude.

• The product of the segments.

• The difference between the segments.

How do you find the geometric mean when given two numbers?

• Subtract the smaller from the larger.

• Add them and divide by 2.

• Divide the larger by the smaller.

• Multiply them and find the square root.

In a right triangle, what does the altitude drawn to the hypotenuse represent?

• The geometric mean between the two segments of the hypotenuse.

• The sum of the two segments of the hypotenuse.

• The product of the two segments of the hypotenuse.

• The difference between the two segments of the hypotenuse.

When solving for the geometric mean in a right triangle, what should you not do with your final answer?

• Check it against the triangle's proportions.

• Convert it into a decimal.

• Leave it under a square root for exactness.

• Round it to the nearest whole number.