## anonymous one year ago If BA is a midsegment of triangle XYZ, find x.

1. anonymous

|dw:1434747793681:dw|

2. anonymous

answer selection is A.5 B.6 C.10 D.12

3. anonymous

@mathmate

4. anonymous

I see that 5 would be the BA, stuck on how it should be set up

5. anonymous

@peachpi

6. anonymous

Since BA is a midsegment, BZ is also 5. |dw:1434749558757:dw| The triangles are similar. $\frac{ XB }{ XZ }=\frac{ BA }{ ZY }$ $\frac{ 5 }{ 10 }=\frac{ x-1 }{ 10 }$

7. mathmate

"Mid segment" means B and A are mid-points of XZ and XY respectively. Thus XBA and XZY are similar triangles.

8. anonymous

do I cross multiply

9. anonymous

yes, you can, but you don't really have to. Both denominators are 10, so you can just say 5 = x -1

10. anonymous

then add one to both sides which gives me 6

11. anonymous

@peachpi

12. anonymous

thinking of a similar problem from earlier, so the answer would be 5

13. anonymous

The segment BA is 5, but x = 6.