Question

Point C is on line segment \overline{BD}

BD . Given CD=2CD=2 and BD=17,BD=17, determine the length \overline{BC}.
BC .

Answer 1

15

Explanation:

The segment addition postulate states that if AC is a line with point B, then AB + CD must equal AC.

Setting Up the Equation

Using the postulate above we can set up an equation that is set equal to BD.

• BC + CD = BD

Now, rewrite this using the information we are given in the question.

• BC + 2 = 17

Solving For BC

Now, we can solve this equation using the properties of equality.

• BC + 2 = 17

To solve you need to isolate BC. Do this by subtracting 2 from both sides.

• BC = 15

This gives us the answer, 15.