Question

PLEASe help 30POINTS

What is the length of segment AB ?

Answer 1

LENGTH

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`\large \sf \underline{Answer:}`

`\qquad\qquad \qquad \huge \bold{√(74) }`

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`\large \sf \underline{Solution:}`

Solving;

• 
  `\sf{D=√((7-2)^2+(1-(-6))^2)}`

• 
  `\sf{D=√(5^2+7^2)}`

• 
  `\sf{D=√(25+49)}`

• 
  `\sf \underline {\pmb{D=√(74)}}`

Hence, the length of segment AB is √74.

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Answer 2

`√(74)`

Explanation:

Distance between two points

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

`\textsf{let}\:(x_1,y_1)=(2,-6)`

`\textsf{let}\:(x_2,y_2)=(7,1)`

`d=\textsf{length of segment AB}`

Substituting points into the distance formula and solving for d:

`\implies d=√((7-2)^2+(1-(-6))^2)`

`\implies d=√(5^2+7^2)`

`\implies d=√(25+49)`

`\implies d=√(74)`