Ask your own question, for FREE!
Mathematics 27 Online
OpenStudy (moazzam07):

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

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?

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

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?

OpenStudy (mathstudent55):

That means you can only draw one triangle with the information you were given.

OpenStudy (moazzam07):

OH yes

OpenStudy (mathstudent55):

The answer is 1 triangle.

OpenStudy (moazzam07):

Thank you

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!