Triangle Inequality Theorem and Angle Sums

Write the following details (red ink) of the Triangle Inequality Theorem in your notes!

Create an obtuse triangle. Which of the following statements are true.

The largest angle is more than 90 degrees. The three angles are all acute angles. The sum of the two short sides are greater than the length of the longest side. The longest side length is opposite the largest angle. The three angles add up to 180 degrees. The shortest side length is opposite the largest angle. The Sum of the three sides equals 180.

Which of the following side lengths create a triangle?

12, 4, 7 4, 7, 9 12, 7, 3 3, 4, 7

What is the sum of the three angles of any triangle.

90 degrees 270 degrees 180 degrees 360 degrees

Which of the following angles create a triangle? If so, what type of triangle. Choose all correct answers.

90, 45, 45: Right, Isosceles Triangle 120, 40, 20: Obtuse, Scalene Triangle 120, 90, 70: Right, Obtuse Triangle 20, 20, 60: Acute, Isosceles Triangle 60, 60, 60: Acute, Equilateral Triangle 30, 60, 80: Acute, Scalene Triangle

Which of the following measurements create a triangle?

3, 4, 5 7, 7, 7 12, 8, 8 6, 3, 2 8, 9, 10 4, 4, 8

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Triangle Inequality Theorem and Angle Sums

Write the following details (red ink) of the Triangle Inequality Theorem in your notes!

Which of the following side lengths create a triangle?

What is the sum of the three angles of any triangle.

Information: Triangle Inequality Theorem and Angle Sums