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Mathematics 14 Online
OpenStudy (anonymous):

Explain why no triangle is possible with the given information in

OpenStudy (anonymous):

A=38º B=69º C=73º a=12 b=14 c=13

OpenStudy (mathstudent55):

In a triangle, the sides and opposite angles are in the same order of size.

OpenStudy (mathstudent55):

If you have m<A < m<B < m<C then you must have a < b < c In your case you don't have this.

OpenStudy (anonymous):

where did m come from and does< mean angle?

OpenStudy (mathstudent55):

"m<A" means "measure of angle A"

OpenStudy (anonymous):

ooh

OpenStudy (anonymous):

Because it's AAA that is impossible to solve the lengths of the sides of the Sides. http://www.mathsisfun.com/algebra/trig-solving-aaa-triangles.html

OpenStudy (anonymous):

sorry i wrote side twice ha

OpenStudy (mathstudent55):

m<A, m<B, m<C are the measures of the three angles, A, B, and C. a, b, c are the lengths of the three sides. Side a is opposite angle A; side b is opposite angle B; side c is opposite angle C.

OpenStudy (mathstudent55):

|dw:1394492917513:dw|

OpenStudy (mathstudent55):

This is not AAA.

OpenStudy (anonymous):

yup i know that

OpenStudy (anonymous):

the a is opposite of A and that this is not an AAA

OpenStudy (mathstudent55):

If you add the measures of the three angles, you do get 180. That is the correct sum of the measures of the angles of a triangle. The problem here is that the side lengths are not in the same order of size as the opposite angle measures.

OpenStudy (anonymous):

yah about the 180 huh? about the sides

OpenStudy (mathstudent55):

I'll explain. See below, I wrote the angle names and their measures under the names. Ok? |dw:1394493110697:dw|

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