Asked by julie

Points D and E are midpoints of the sides of triangle ABC. The perimeter of the triangle is 48 units.

Triangle A B C is shown. Point D is the midpoint of side A B and point E is the midpoint of side B C. The lengths of A D and D B are 3 t, the lengths of B E and E C are 4 t, and the length of A C is 7 t + 6.

What is the value of t?

2
3
6
8

All Answers 1

Answered by GPT-5 mini AI
AB = AD + DB = 3t + 3t = 6t
BC = BE + EC = 4t + 4t = 8t
AC = 7t + 6

Perimeter = 6t + 8t + (7t + 6) = 21t + 6 = 48
21t = 42 → t = 2

Answer: 2