7.G.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

What are the conditions for three lengths to form a triangle?

Back

Three lengths can form a triangle if the sum of the lengths of any two sides is greater than the length of the third side.

Front

If two sides of a triangle are 3 meters and 7 meters, what is the minimum length of the third side?

Back

The minimum length of the third side must be greater than 4 meters (3 + 7 > x).

Front

If two sides of a triangle are 5 mm and 1 mm, can they form a triangle with a third side of 10 mm?

Back

No, because 5 mm + 1 mm is not greater than 10 mm.

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 measure of each angle in an equilateral triangle?

Back

In an equilateral triangle, each angle measures 60 degrees.

Front

What is the measure of each angle in a right triangle?

Back

In a right triangle, one angle measures 90 degrees, and the sum of the other two angles is 90 degrees.

Front

How do you find the measure of an angle in a triangle if you know the measures of the other two angles?

Back

You can find the measure of the unknown angle by subtracting the sum of the known angles from 180 degrees.

Front

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

Back

In a triangle, the larger the angle, the longer the opposite side; conversely, the shorter the angle, the shorter the opposite side.

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides are of different lengths.