Question

If BC = 8x, CD = 2x, and BD = 10, what is BC? Simplify your answer

Answer 1

BC = 8x

CD = 2x

BD = 10

BC + CD > BD

8x + 2x > 10

10x > 10

x > 1

BC + BD > CD

8x + 10 > 2x

8x - 2x > -10

6x > -10

x > -10/6

BD + CD > BC

10 + 2x > 8x

10 > 6x

x < 10/6

Thus x lies between 1 and 1.6