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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- moazzam07

- mathstudent55

Have you heard of proving two triangles congruent by SAS?

- moazzam07

no

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## More answers

- mathstudent55

Ok.

- 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?

- moazzam07

No

- mathstudent55

|dw:1439778807736:dw|

- moazzam07

ok

- 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?

- moazzam07

yes

- mathstudent55

|dw:1439778972475:dw|

- moazzam07

yeah

- 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?

- moazzam07

yes thats right

- moazzam07

so the answer is b right?

- mathstudent55

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

- moazzam07

OH yes

- mathstudent55

The answer is 1 triangle.

- moazzam07

Thank you

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