Triangle Relationships Review

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

Given side lengths of 15, 12, and 9, does a triangle exist?

Back

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

Front

Can a triangle have side lengths of 3, 4, and 9?

Back

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

Front

What is the formula for the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Front

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

Back

In a triangle, the larger the side, the larger the opposite angle.

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 find the value of x in a triangle problem?

Back

To find the value of x, you may need to apply the Triangle Inequality Theorem, the Pythagorean theorem, or properties of similar triangles.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

If two angles of a triangle are known, how can you find the third angle?

Back

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

Front

What is a scalene triangle?

Back

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