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Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 2 and a horizontal side of 6. The other triangle has a vertical side of 10 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 both right triangles
Yes, because they are similar triangles Description

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Answer:

4th option is correct that is Yes, Because They are similar triangles.

Step-by-step explanation:

Given:

Two Right angled triangle.

Triangle 1: vertical side = 2 and horizontal side = 6

Triangle 2: vertical side = 10 and horizontal side = 30

In Traingle 1 and Traingle 2,

Both triangle has right angles.

[tex]\frac{side\:of\:traingle\:1}{side\:of\:traingle\:2}=\frac{2}{10}=\frac{6}{30}[/tex]

So, Both triangles are similar.

Therefore, 4th option is correct that is Yes, Because They are similar triangles.

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