Review Triangle Sum and Inequality Flashcardizz

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Front

If one angle of a triangle is 70 degrees and another is 50 degrees, what is the measure of the third angle?

Back

The third angle is 60 degrees (180 - 70 - 50 = 60).

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

Can a triangle have sides measuring 5 cm, 2 cm, and 8 cm?

Back

No, because 5 + 2 is not greater than 8.

Front

What is the shortest side in a triangle?

Back

The shortest side of a triangle is opposite the smallest angle.

Front

If two angles of a triangle are 45 degrees and 55 degrees, what is the measure of the third angle?

Back

The third angle is 80 degrees (180 - 45 - 55 = 80).

Front

What does it mean for three lengths to be the sides of a triangle?

Back

It means that the lengths must satisfy the Triangle Inequality Theorem.

Front

If a triangle has sides of lengths 3 cm, 4 cm, and 5 cm, is it a right triangle?

Back

Yes, because 3^2 + 4^2 = 5^2 (9 + 16 = 25).

Front

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

Back

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

Front

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

Back

It is a right triangle.