Final answer:
The base of the triangle is 78 m.
Step-by-step explanation:
In a triangle, the formula for the area is given by ½ x base x height. To find the base, we can rearrange the formula as base = 2 x (Area/height). Given that the longer side of the triangle is 52m and the height is 48m, we can calculate the area by using the formula. Area = ½ x base x height. Substitute the known values into the formula and solve for the area. Once we have the area, we can substitute it and the height value into the rearranged formula to find the base length.
Area = ½ x base x height
52 = 2 x (Area/48)
Area = 1872 m²
Base = 2 x (Area/height) = 2 x (1872/48) = 78 m