Question

A • (-3,-4) B • (5,2) C • (11,-6) What is BC? A.) 10 B.) 8 C.) 3 D.) 5

Answer 1

Answer:

A.) 10

Step-by-step explanation:

So draw the points on a graph is the best way to solve the problem, but if you can't then you have to mentally imagine it.

on the X axis B is 5 and C is 11 so the distance or length of the line between the points is 11-5=6

on the Y axis B is 2 and C is -6 so the distance or length of the line between the points is 2-(-6)=8

now you have two lines that can make a right triangle and use the Pythagorean theorem to solve for the long line connecting directly from point B to point C $x^{2}$+$y^{2}$=$z^{2}$ so $6^{2}$+$8^{2}$=100=$z^{2}$, z=$\sqrt{100}$=10