Question

Use the Distance Formula to find the length of CD

1. C (16, 7) and D (12, -3)

2. C (4, 1) and D ( -8, -6)

Answer 1

1. sqrt(116)

2. sqrt(193)

Explanation:

For a point A(x1,y1) and B(x2,y2), the length of AB by the distance formula is sqrt((x2-x1)^2 + (y2-y1)^2).

So in 1. we have A as C and B as D.

So the length of CD is

sqrt((12-16)^2 + (-3-7)^2)

sqrt(16 + 100)

sqrt(116)

In 2. the same thing

The length of CD is

sqrt((-8 -4)^2 + (-6-1)^2)

sqrt(144 + 49)

sqrt(193)