Question

question 2 of 50
in triangle abd, \\(\overline{ac}\\) is a median. the value of ac is:
image of triangle abd with point c on bd, dc = 28, cb = x + 2, ac = x + 8
options: 28, 6, 34

Explanation:

Step1: Recall median property

A median of a triangle divides the opposite side into two equal parts. So in $\triangle ABD$, since $AC$ is a median, $DC = CB$.

Step2: Set up equation

Given $DC = 28$, $CB = x + 2$. So $28 = x + 2$.

Step3: Solve for x

Subtract 2 from both sides: $x = 28 - 2 = 26$.

Step4: Find AC

$AC = x + 8$. Substitute $x = 26$: $AC = 26 + 8 = 34$.

Answer:

34