Question

WHAT IS THE LENGTH OF DT?

Answer 1

There are two ways you can find out the length: Draw a right triangle with the two ordered pairs and find the hypotenuse of it using Pythagorean theorem or use the distance formula. I'm going to use the latter.

Distance formula =
`\sqrt{(X2-X1)^(2) + (Y2-Y1)^(2)}` where (X1, Y1) is the first ordered pair listed and (X2, Y2) is the second.

Now, just plug in and solve.

Distance =
`\sqrt{(7-(-6))^(2) + (-8 - (-2))^(2)} \\ \sqrt{(7+6)^(2) + (- 8+2)^(2)} \\ \sqrt{13^(2) + (- 6)^(2)} \\ √(169 + 36) \\ √(205)`

Your distance between the two points is √205 units or ≈ 14.32 units