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

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