How many triangles can be made if two sides are 4 inches and the angle between them is 90°?
1
2
More than 2
None
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OpenStudy (moazzam07):
@LynFran
OpenStudy (mathstudent55):
Have you heard of proving two triangles congruent by SAS?
OpenStudy (moazzam07):
no
OpenStudy (mathstudent55):
Ok.
OpenStudy (mathstudent55):
If you draw two segments, each 4 inches long.
Then make sure the angle between them is 90 degrees,
does that determine a specific triangle?
Has the third side become of a fixed length?
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OpenStudy (moazzam07):
No
OpenStudy (mathstudent55):
|dw:1439778807736:dw|
OpenStudy (moazzam07):
ok
OpenStudy (mathstudent55):
Look at the figure above.
Let's say both sides are 4 inches long and the angle between them is 90 degrees.
If the two 4-inch segments and the angle between are part of a triangle, can you draw the third side of the triangle?
OpenStudy (moazzam07):
yes
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OpenStudy (mathstudent55):
|dw:1439778972475:dw|
OpenStudy (moazzam07):
yeah
OpenStudy (mathstudent55):
The third side shown above would be it, right? There is no other way of drawing a triangle with the two 4-inch sides and the included 90 deg angle, right?
OpenStudy (moazzam07):
yes thats right
OpenStudy (moazzam07):
so the answer is b right?
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OpenStudy (mathstudent55):
That means you can only draw one triangle with the information you were given.