U3 - Triangle Inequality Theorem

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

If a triangle has sides of lengths 15, 12, and 9, does it satisfy the Triangle Inequality Theorem?

Back

Yes, it satisfies the theorem 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

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

Front

How do you determine the smallest angle in a triangle?

Back

The smallest angle can be determined by identifying the shortest side of the triangle, as it is opposite the smallest angle.

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is always 180 degrees.

Front

If one angle of a triangle is 90 degrees, what type of triangle is it?

Back

It is a right triangle.

Front

What is an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle greater than 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

If the sides of a triangle are 7, 10, and 5, can a triangle be formed?

Back

Yes, because 7 + 5 > 10, 7 + 10 > 5, and 10 + 5 > 7.

Front

What is the shortest side in a triangle with sides 8, 6, and 10?

Back

The shortest side is 6.