Question

What is the length of segment CD question mark

CD = two square root of 10 end square root

CD = 6

CD = 8

CD = 40

Answer 1

CD = two square root of 10 end square root

Explanation:

To find the length of a segment, use the distance formula. Substitute the order pairs for the endpoints of the segment. CD has the end points (-7, -4) and (-1, -2).

`d = √((y_2-y_1)^2 + (x_2-x_1)^2) \\\\d = √((-4--2)^2 + (-7--1)^2) \\\\d = √(-2^2 + -6^2)\\\\d = √(4 + 36)\\\\d=\sqrt {40} = 2√(10)`