Question

In triangle ABC, AD is a median. If x if DB= 3/2x + 1/2 and DC= (2x+3)/2 ,what is the value of x?

a)x=2
b)x=4
c)x=6
d)x=8

Answer 1

To find the value of x, we need to set up an equation using the given information and solve it.

Step-by-step explanation:

To find the value of x, we need to set up an equation using the given information. In triangle ABC, AD is a median, which means it divides the side BC in half. This means that BD and DC are equal in length. We can set up the equation:

DB = DC

Substituting the given expressions for DB and DC in terms of x:

(3/2x + 1/2) = (2x + 3)/2

Solve the equation for x to find the value.