Question

Can you help me solve this question?

Answer 1

@jim_thompson5910

Answer 2

What kind of line is AB?

Answer 3

It popped up in a previous question

Answer 4

I think its a midsegment

Answer 5

what's true about the midsegment

Answer 6

Um, I know that a midsegment connects two midpoints of two sides of a triangle

Answer 7

http://www.regentsprep.org/Regents/math/geometry/GP10/MidLineL.htm

Answer 8

That page says that

"The mid-segment of a triangle joins the midpoints of two sides of a triangle such that its length is half the length of the third side of the triangle."

Answer 9

So AB is half as long as YZ

Answer 10

similarly, BC is also a midsegment so it is half as long as XY

Answer 11

Yeah I get that but like what I don't understand is in order to find XY you would have to double BC but BC is m-3, so I don't get how to double that.

Answer 12

so you're saying

2 times (BC) = XY

2*BC = XY

2*(m-3) = m+1

Answer 13

solve 2*(m-3) = m+1 for m

Answer 14

m=4

Answer 15

i forgot to distribute so m=7

Answer 16

yeah it's m = 7

Answer 17

then you use m = 7 to find XY

Answer 18

so the length of XY would be 8

Answer 19

yep

Answer 20

And the lendh of BC would be 4

Answer 21

correct

Answer 22

Thanks, you made me understand,medal for you!!

Answer 23

you're welcome