Question

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

Answer 1

Ans a.2

Explanation:

big yes

Answer 2

2

Explanation:

From the diagram attached :

AB = AD + BD = 3t + 3t = 6t

BC = BE + EC = 4t + 4t = 8t

AC = 7t + 6

Perimeter of the triangle = 48

Perimeter of a triangle (P) :

P = AB + BC + AC

48 = 6t + 8t + 7t + 6

48 - 6 = 6t + 8t + 7t

42 = 21t

t = 42 / 21

t = 2