Given a triangle with vertices U(6, −1), W(0, −5), and X(4, −9), and Y is the midpoint of segment UW and Z is the midpoint of se

Question

4 years ago

5

gment WX comma what is the length of YZ?

2 answers:

Ilya [14] · Answer 1 · 2022-01-27T12:32:50+03:00

Ilya [14]4 years ago

8 0

Be more specific. Like what is it asking you to do ? I'm trying to help. :)

mr_godi [17] · Answer 2 · 2022-01-27T13:37:37+03:00

Here we have to use the distance formula

Please see the image attached with the solution , for the figure

Firstly we have to find the length of line segment XU

and the triangle has a property that the length of line segment that connects the midpoint of the two sides is half the length of the third side.

It means here

Length of YZ = half the length of XU

So lets find the length of XU

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}= \sqrt{(6-4)^2 +(-1+9)^2} =\sqrt{4+64}$

$=\sqrt{68}$

$=2\sqrt{17}$

Now the length of YZ = half of $=2\sqrt{17}$

So length of YZ = $=\sqrt{17}$