Triangle Sum Theorem & Triangle Inequality Theorem

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

• Acute triangle

• Obtuse triangle

• Right triangle

• Scalene triangle

What is a scalene triangle?

• A triangle where all three sides have the same length.

• A triangle where two sides are equal in length.

• A triangle where all three sides have different lengths.

• A triangle with one right angle.

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

• The largest side is opposite the smallest angle, and the smallest side is opposite the largest angle.

• The sides of a triangle are always equal to its angles.

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

• The angles of a triangle are always equal to the sum of its sides.

What is an equilateral triangle?

• A triangle with one angle greater than 90 degrees.

• A triangle where all three sides are of equal length and all angles are 60 degrees.

• A triangle with two sides of equal length.

• A triangle that can have any angle measures.

If a triangle has angles measuring 30 degrees and 110 degrees, what is the measure of the third angle?

• 30 degrees

• 40 degrees

• 50 degrees

• 60 degrees

What is the maximum angle in a triangle?

• Less than 90 degrees

• Exactly 90 degrees

• Less than 180 degrees

• Exactly 180 degrees

What is an obtuse triangle?

• A triangle with all angles measuring less than 90 degrees.

• A triangle that has one angle measuring more than 90 degrees.

• A triangle with two equal sides and one angle measuring 90 degrees.

• A triangle that has three angles measuring exactly 60 degrees.

What is an acute triangle?

• A triangle where one angle is greater than 90 degrees.

• A triangle where all three angles are less than 90 degrees.

• A triangle with one right angle.

• A triangle where all angles are equal to 90 degrees.

If two sides of a triangle are 7 ft and 13 ft, what is the range for the third side?

• More than 5 ft but less than 15 ft

• More than 6 ft but less than 20 ft

• More than 8 ft but less than 18 ft

• More than 10 ft but less than 22 ft

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

• Yes, it satisfies the Triangle Inequality Theorem because 15 < 12 + 9, 12 < 15 + 9, and 9 < 15 + 12.

• No, it does not satisfy the Triangle Inequality Theorem because 15 >= 12 + 9.

• Yes, it satisfies the Triangle Inequality Theorem because 15 + 12 > 9, 12 + 9 > 15, and 9 + 15 > 12.

• No, it does not satisfy the Triangle Inequality Theorem because 12 + 9 < 15.