TEST: Triangle Inequality UNIT 5 11.21.24

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

Can the lengths 4, 8, and 10 form a triangle?

Back

Yes, because 4 + 8 > 10, 4 + 10 > 8, and 8 + 10 > 4.

Front

What is a possible third side to a triangle with sides 13 and 4?

Back

The possible third side must be less than 17 (13 + 4) and greater than 9 (13 - 4). Therefore, 12 is a valid option.

Front

Can the sides 3, 4, and 9 form a triangle?

Back

No, because 3 + 4 is not greater than 9.

Front

Does a triangle with side lengths 15, 12, and 9 exist?

Back

Yes, because 15 + 12 > 9, 15 + 9 > 12, and 12 + 9 > 15.

Front

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

Back

The largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.

Front

If two sides of a triangle are equal, what type of triangle is it?

Back

It is an isosceles triangle.

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

What is the smallest angle in a triangle with sides 5, 12, and 13?

Back

The smallest angle is opposite the shortest side, which is 5.

Front

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

Back

Use the Triangle Inequality Theorem: check if the sum of any two sides is greater than the third side.