Answer:
2 units
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangle are acute, obtuse, scalene, isosceles, equilateral and right angled triangle.
Since point D and E are midpoints of the sides of triangle ABC, hence:
AD = BD = 3t, BE = CE = 4t, AC = 7t + 6
The perimeter of triangle ABC = AC + BC + AB = AC + AD + BD + BE + CE;
Substituting:
48 = 7t + 6 + 3t + 3t + 4t + 4t = 21t + 6
48 = 21t + 6
21t = 42
t = 2 units