Find the range for the measure of the third side of a triangle when the measures of the other two sides are 6 ft and 19 ft.

The range of the third side of a triangle, given the lengths of the other two sides, can be found using the Triangle Inequality Theorem. This theorem states that the length of any side of a triangle must be less than the sum of the lengths of the other two sides and greater than the absolute difference of the lengths of the other two sides.

Step 1: Find the sum of the lengths of the two given sides. 6 ft + 19 ft = 25 ft

Step 2: Find the absolute difference of the lengths of the two given sides. |6 ft - 19 ft| = 13 ft

Therefore, the length of the third side must be greater than 13 ft and less than 25 ft. So, the range for the measure of the third side of the triangle is (13 ft, 25 ft).