Question

One triangle on a graph has a vertical side of 7 and a horizontal side of 12. Another triangle on a graph has a vertical side of 28 and a horizontal side of 48.

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

Yes, because they are similar triangles
Yes, because all triangles can fit along this line
No, because they need to be the same size
No, because they are not similar triangles

Answer 1

Yes, because they are similar triangles

Explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal

Verify if the triangles are similar

`(28)/(7)=(48)/(12)`

`4=4` ------> is true

therefore

The triangles are similar

and the answer is

Yes, because they are similar triangles