Help!

The map connects cities X, Y, and Z. The highways connecting the cities make a right triangle.

Leo drove from city Y to city Z and Samantha drove from city Y to city X and then from city X to city Z. How many more kilometers did Samantha drive than Leo? Using complete sentences, justify your answer.

Question

Help! 

The map connects cities X, Y, and Z. The highways connecting the cities make a right triangle.
 

 
Leo drove from city Y to city Z and Samantha drove from city Y to city X and then from city X to city Z. How many more kilometers did Samantha drive than Leo? Using complete sentences, justify your answer.

anonymous · Answer

attachment

anonymous · Answer

use pythagoras theorem to find the YX side length

anonymous · Answer

XY=sqrt(34^2-16^2)=sqrt900 = 30
so..Leo trip = YZ= 34km
Samantha = YX+XZ=30km + 16 km =46 fm
so the difference is 16 km
@JuliaOrtega

anonymous · Answer

Wouldnt the difference be 12 then?

anonymous · Answer

ups , sry you right....

anonymous · Answer

ohh okaay. lol. thank you for your help <3