Unit 8 - Test Review " Part 2"

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Front

How can you determine if three lengths can form a triangle?

Back

To determine if three lengths can form a triangle, check if the sum of the lengths of any two sides is greater than the length of the third side for all three combinations.

Front

What type of triangle is formed by sides of lengths 6, 12, and 15?

Back

The triangle with sides 6, 12, and 15 is an obtuse triangle.

Front

What is the maximum length of the third side of a triangle if the other two sides are 6 yards and 10 yards?

Back

The maximum length of the third side must be less than the sum of the other two sides, so it can be at most 15 yards.

Front

What is the minimum length of the third side of a triangle if the other two sides are 6 yards and 10 yards?

Back

The minimum length of the third side must be greater than the difference of the other two sides, so it must be greater than 4 yards.

Front

Can a triangle be formed with sides of lengths 7, 7, and 14?

Back

No, a triangle cannot be formed with sides of lengths 7, 7, and 14 because the sum of the lengths of the two shorter sides is equal to the length of the longest side.

Front

What is a right triangle?

Back

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

Front

What is an acute triangle?

Back

An acute triangle is a triangle where all three angles are less than 90 degrees.

Front

What is an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle measuring more than 90 degrees.

Front

If a ladder is 85 feet long and the base is 13 feet from the wall, how high does it reach?

Back

Using the Pythagorean theorem, the height can be calculated as √(85² - 13²) = √(7225 - 169) = √7056 = 84 feet.