Homework 6: Triangle Inequalities- OL

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

Which of the following sets of lengths can form a triangle? 2 cm, 6 cm, 7 cm; 3 cm, 10 cm, 15 cm; 5 cm, 5 cm, 8 cm?

Back

The lengths 2 cm, 6 cm, 7 cm and 5 cm, 5 cm, 8 cm can form triangles, but 3 cm, 10 cm, 15 cm cannot.

Front

How do you order the sides of a triangle from least to greatest?

Back

To order the sides of a triangle from least to greatest, measure each side and arrange them in ascending order.

Front

What is the relationship between the angles and sides of a triangle?

Back

In a triangle, the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.

Front

If the sides of a triangle are 5 cm, 12 cm, and 13 cm, does it satisfy the Triangle Inequality Theorem?

Back

Yes, 5 + 12 > 13, 5 + 13 > 12, and 12 + 13 > 5, so it satisfies the theorem.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

How do you determine the longest side of a triangle given the lengths?

Back

To determine the longest side, compare the lengths of all sides and identify the greatest value.

Front

What is the definition of an acute triangle?

Back

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

Front

What is the definition of an obtuse triangle?

Back

An obtuse triangle is a triangle that has one interior angle greater than 90 degrees.

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one interior angle equal to 90 degrees.