To find the possible measure of the third side of the triangle, we need to make sure that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Let's check the sum of the two given sides:
3.7 + 8.2 = 12.9
Now, let's compare this sum to the possible measures of the third side:
- 4.2: 4.2 is less than 12.9, so it does not satisfy the triangle inequality theorem.
- 3.5: 3.5 is less than 12.9, so it does not satisfy the triangle inequality theorem.
- 5.5: 5.5 is greater than 12.9, so it does not satisfy the triangle inequality theorem.
- 4.5: 4.5 is less than 12.9, so it does not satisfy the triangle inequality theorem.
Therefore, a possible measure of the third side that satisfies the triangle inequality theorem is:
- 5.5
two sides of a triangle measure 3.7 and 8.2.Apply the triangle inequality theorum to find a possible measure of the third side(1point)
4.2
3.5
5.5
4.5
1 answer
1 answer