Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 4 and a horizontal side of 10. The other triangle has a vertical side of 12 and a horizontal side of 30.

Could the hypotenuses of these two triangles lie along the same line?

No, because they are not similar triangles
No, because one is larger than the other
Yes, because they are similar triangles
Yes, because they are both right triangles

Question

Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 4 and a horizontal side of 10. The other triangle has a vertical side of 12 and a horizontal side of 30. 

Could the hypotenuses of these two triangles lie along the same line?

 No, because they are not similar triangles
 No, because one is larger than the other
 Yes, because they are similar triangles
 Yes, because they are both right triangles

badhi · Answer

If you consider the tan, you'll notice both of them have the equal tangents (4/10) and (12/30). So, both of them are similar triangles