Question

What is the length of the line segment with endpoints (7,-1) and (-3,5)?

A. 64
B. 2√34 this is has line on top of the 34
C. 136
D. 8

Answer 1

Formula to find the length of two endpoints:
`√((x^2-x^1)^2+(y^2-y^1)^2)`

Now, solve with the given endpoints.

`√((x^2-x^1)^2+(y^2-y^1)^2) \\√((-3-7)^2+(5-(-1))^2) \\√((-10)^2 + (6)^2) \\ √(100+36)\\√(136)`

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Now, simplify using what we know about radicals.

Solution in picture.

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The length between the endpoints is 2√34 (Option B)

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Best Regards,

Wolfyy :)