Question

Find the length of CD. Place point G at (4,-4), and draw CG and GD

. Now you have right ΔCGD with CD
as the hypotenuse. Find GD and CG using coordinates. Then use the Pythagorean Theorem to find CD. Show your work.

Answer 1

CG = |0− (−4)| = 4

GD = |4 − 1| = 3

Distance Formula: d = √(x2-x1)^2 + (y2-y1)^2

CD = √(x2-x1)^2 + (y2-y1)^2

C = (4,0)

D = (1,-4)

CD = √(1-4)^2 + (-4-0)^2

CD = √(-3)^2 + (-4)^2

CD = √9 + 16

CD = √25

CD = 5

Step-by-step explanation:

Answer 2

GD = |4 − 1| = 3

CG = |0− (−4)| = 4

Using the Pythagorean Theorem to find CD:

CD2 = GD2 + CG2

CD2 = 32 + 42

CD2 = 9 + 16

CD = √25

CD = 5

Step-by-step explanation:

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