Unit 5 Review

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

If two sides of a triangle are 17 meters and 12 meters, what is the range of possible lengths for the third side?

Back

5 < x < 29

Front

How do you determine the largest angle in a triangle?

Back

The largest angle is opposite the longest side of the triangle.

Front

If a triangle has sides of lengths 15, 12, and 9, does it exist?

Back

Yes, it exists because it satisfies the Triangle Inequality Theorem.

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

What is the range of possible lengths for a third side if two sides are 13 and 4?

Back

5 < x < 17

Front

What is the smallest angle in a triangle with sides 15, 12, and 9?

Back

∠B is the smallest angle.

Front

What is the formula to find the area of a triangle?

Back

Area = 1/2 * base * height.

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 can you find the length of a side in a right triangle?

Back

Use the Pythagorean theorem: a² + b² = c², where c is the hypotenuse.