Home > Grade 7 > Geometry > Sides of a Triangle

Sides of a Triangle

Directions: The perimeter of a triangle is 20 units. Using whole numbers, how many sets of side lengths can you find for this triangle?

Hint

Hint

Can one of the side lengths be 10? Why or why not?
Can one of the side lengths be 20? or more than 20? Why or why not?
What is true about the sum of any two sides of a triangle compared to the third side?
Is a triangle with the sides 3, 4, 5 different than a triangle with the sides 4, 5, 3? Does the order matter?

Answer

Answer

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

These are the whole number sets of side lengths my students found. There may be more.

Source: Christina Ploeckelman

Print Friendly, PDF & Email

Check Also

Converting a Fraction to a Decimal

Directions: Using the digits 1 to 9, at most one time each, place a digit …

Leave a Reply

Your email address will not be published. Required fields are marked *