SOLUTION: Triangle ABC contains side lengths b = 3 inches and c = 5 inches. In two or more complete sentences describe whether or not it is possible for m < B = 45°.

Algebra.Com
Question 1054093: Triangle ABC contains side lengths b = 3 inches and c = 5 inches. In two or more complete sentences describe whether or not it is possible for m < B = 45°.
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!




In the above drawing, each of the tic-marks are equal and
represent 1 inch each.  The angle B has measure 45°.  We can
see by the arc that the line AC, which equals 3 inches, is 
not long enough to reach the slanted side of the 45° angle.
Therefore triangle ABC is not possible.  We can also show
by the law of sines that no triangle ABC with the given
properties in possible.











Since sines of angles are always less than one, this shows
that there is no possible way to have an angle C.  Therefore
it is impossible to have a triangle ABC with the given
properties.

Edwin


RELATED QUESTIONS

In two or more complete sentences describe the process in writing the equation of a line... (answered by josgarithmetic)
Can the three sides of a triangle be 8 inches, 11 inches and 20 inches long? Why, or why... (answered by ikleyn)
Two sides of a right triangle are 5 and 10 inches more than the first side. Using the... (answered by macston)
triangle ABC has sides of 50, 90 and 130. triangle DEF has side lengths of 60, 108 and... (answered by KMST)
Is a triangle has side lengths 3 inches ,4 inches and 8 inches is that sometimes true... (answered by amarjeeth123)
In right triangle ABC, the lengths of the two legs are 5 inches and 8 inches. What is the (answered by Alan3354)
1.Kathy uses the following steps to construct a perpendicular line through a point C on a (answered by lynnlo)
Question 1. Find side a if side b = 13 inches and side c = 30 inches. in a right... (answered by MathLover1)
Linda constructs a triangle with one side 5 inches long and another side 7 inches long.... (answered by macston)