Question

B is the midpoint of line AC. AB = 5x and BC = 2x + 3. FInd AB, BC, and AC>

Answer 1

Question 20975

B is the midpoint of line $AC$. $AB = 5x$ and $BC = 2x + 3$. Find $AB$, $BC$, and $AC$.

Solution.

Since $C$ is the midpoint, we get

$$AC = BC$$ $$5x = 2x + 3$$ $$x = 1$$

Then

$$AB = BC = 5 \cdot 1 = 5$$ $$AC = 10$$

Answer. $AB = BC = 5, AC = 10$