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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

What is the length of segment GH? Round your answer to the nearest hundredth.A. 4.70 unitsB-example-1
User MrW
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1 Answer

2 votes

Answer:

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.

User Kenrick
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