Question

What is the length of segment GH? Round your answer to the nearest hundredth.A. 4.70 unitsB. 6.24 unitsC. 8.54 unitsD. 11.00 units

Answer 1

C. 8.54 units

Step-by-step explanation:

The length of a segment that goes from point (x1, y1) to (x2, y2) can be calculated as

`√((x_2-x_1)^2+(y_2-y_1)^2)`

So, to calculate the length of segment GH, we need to replace (x1, y1) = G(-1, 5) and (x2, y2) = H(2, -3).

`\begin{gathered} √((2-(-1))^2+(-3-5)^2) \\ \\ √((2+1)^2+(-8)^2) \\ \\ √(3^2+(-8)^2) \\ \\ √(9+64) \\ \\ √(73) \\ \\ 8.54 \end{gathered}`

Therefore, the length of the segment GH is 8.54 units.