Question

PLEASe help 30POINTS What is the length of segment AB ?

Answer 1

LENGTH

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

$\qquad\qquad \qquad \huge \bold{\sqrt{74} }$

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

Solving;

• $\sf{D=\sqrt{(7-2)^2+(1-(-6))^2}}$

• $\sf{D=\sqrt{5^2+7^2}}$

• $\sf{D=\sqrt{25+49}}$

• $\sf \underline {\pmb{D=\sqrt{74}}}$

Hence, the length of segment AB is √74.

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Answer 2

Answer:

$\sqrt{74}$

Step-by-step explanation:

Distance between two points

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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

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

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

Substituting points into the distance formula and solving for d:

$\implies d=\sqrt{(7-2)^2+(1-(-6))^2}$

$\implies d=\sqrt{5^2+7^2}$

$\implies d=\sqrt{25+49}$

$\implies d=\sqrt{74}$