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
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OpenStudy (volleyballlover55):
@mathstudent55 ?
OpenStudy (volleyballlover55):
@robtobey2 please help!
OpenStudy (mathstudent55):
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OpenStudy (mathstudent55):
Can you multiply both sides of the small triangle by THE SAME NUMBER and turn it into the bigger triangle?
OpenStudy (volleyballlover55):
ohhhhh so the answer is :
No, because one is larger than the other
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OpenStudy (mathstudent55):
If you can, then they are similar triangles.
In that case the hypotenuses will have the same slope.
OpenStudy (volleyballlover55):
oh, so then its c?
OpenStudy (mathstudent55):
It all depends on whether they are similar triangles or not.
OpenStudy (mathstudent55):
Correct.
OpenStudy (robtobey2):
Yes, because they are similar triangles.
12/30 = 4/10
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OpenStudy (volleyballlover55):
ok!
OpenStudy (volleyballlover55):
@robtobey2
OpenStudy (volleyballlover55):
? :)
OpenStudy (volleyballlover55):
@robtobey2
OpenStudy (robtobey2):
Test y=2x+4
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