Question

What is the length of segment AB?
attachment below.

Answer 1

@Michele_Laino

Answer 2

here we have to apply this formula:
\[d = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} \]
where (x1,y1)=(5,0) and (x2,y2)=(0,12)

Answer 3

so the answer is 12

Answer 4

after a substitution, we can write:
\[\begin{gathered}
d = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} \hfill \\
\hfill \\
= \sqrt {{{\left( {0 - 5} \right)}^2} + {{\left( {12 - 0} \right)}^2}} = \sqrt {25 + 144} = \hfill \\
\hfill \\
= \sqrt {169} = ...? \hfill \\
\end{gathered} \]

Answer 5

13

Answer 6

that's right!

Answer 7

yay! Thanks!

Answer 8

:)