In the picture below, triangle XYZ represents a fruit farm. The shaded area represents the area where strawberries are grown. Segments XY and TU are parallel.

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0300_Subtest_05_17/image0034e1c8495.jpg

What is the length of XT?

60 m

10 m

20 m

30 m

I think the answer is 30 m

Question

In the picture below, triangle XYZ represents a fruit farm. The shaded area represents the area where strawberries are grown. Segments XY and TU are parallel.

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0300_Subtest_05_17/image0034e1c8495.jpg



What is the length of XT?

60 m

10 m

20 m

30 m 

I think the answer is 30 m

cwrw238 · Answer

yes -  because ZU:UY = ZT : TX

anonymous · Answer

Thank you!

anonymous · Answer

I'm confused here. If it's 30, then shouldn't the hypotenuse be $\sqrt{60^2+60^2}\approx 85$? Can you explain this, @cwrw238?

anonymous · Answer

the triangles are congruent. If we look at the side ZUY it shuold be equal to ZTX and the sides for ZUY are 30, 30

anonymous · Answer

Yeah, I get that part. But if both sides are $60$, via Pythagorean theorem, $c=\sqrt{60^2+60^2}\approx 85 \ne 100.$ My point is, I don't get how the hypotenuse is $100$ in this case. (XY)

cwrw238 · Answer

its the diagram limitless - its drawn as if Z is a right angle - but it can't be

anonymous · Answer

That's what I was beginning to think. Good observation.