According to the Triangle Inequality Theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, the two given sides are 3.7 and 8.2.
So, for the third side:
3.7 + 8.2 > x
12.9 > x
Therefore, the possible measure of the third side must be less than 12.9.
From the given options, 4.5, 4.2, 5.5, and 3.5, only 4.2 is less than 12.9.
Therefore, a possible measure of the third side of the triangle is 4.2.
Two sides of a triangle measure 3.7 and 8.2 . Apply the Triangle Inequality Theorem to find a possible measure of the third side.
(1 point)
4.5
4.2
5.5
3.5
1 answer