Triangle Inequality Theorem

The Triangle Inequality Theorem states that the sum of the lengths of any two sides is greater than the length of the third side. The following statements are: a+b > c a+c > b b+c > a

EXAMPLE ONLY

Please refer to this example for your assignment.

HW 1:

Check if these values form a triangle. 20,32,39 Add any two sides to see if the total if greater then the other side. If the lengths of two sides are greater then the other side, what does this mean? Or, if the lengths of two sides are not greater then the other side, what does this mean?

HW 2

Use the slider on the and move around numbers to any numbers you want. After you have the three numbers for a, b and c, use the three Triangle Inequality Theorem Statements to see if your numbers satisfy the Triangle Inequality Theorem. Please chart down each calculation. If they do not satisfy the theorem, please type a 1-2 paragraph statement on why. I added a triangle but you can move the triangle if you would like.

End of Activity

Since we worked on a, b, and c separately, if we went AB, BC, AC, what do you think the three different statements will look like? Remember, two sides added together always have to be greater than the other side.

Triangle Inequality Theorem