SOLUTION: IF two side of a triangle are unequal, the angle opposite to the smaller side must be acute.

Algebra.Com
Question 254142: IF two side of a triangle are unequal, the angle opposite to the smaller side must be acute.
Found 2 solutions by richwmiller, JimboP1977:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
Reminder:
You are limited to one problem per submission.
No more than 4 submissions daily
No similar problems.
Do you have a question about angles or sides?

Answer by JimboP1977(311)   (Show Source): You can put this solution on YOUR website!
Yes this must be true if you think about it.
If you draw a triangle ABC with a horizontal base of length b going from A to B. If the other side a extending from B to C is less than b it is impossible for the angle to be larger than 90 and therefore must be acute.

RELATED QUESTIONS

1. The greatest side of a triangle subtends the greatest angle. (answered by richwmiller)
One acute angle of a right triangle measures . To the nearest tenth, what is the length... (answered by richard1234)
in a right angled triangle if one of the acute angle is twicethe other,prove that the... (answered by cleomenius)
If you are given a right triangle with an acute angle ((((theta))), what two... (answered by edjones)
The acute angles of a right triangle have degree measures 30 and 60. If the side opposite (answered by josgarithmetic,ikleyn,Edwin McCravy,mccravyedwin)
Suppose a triangle has sides a, b, and c, and let O be the angle opposite the side length (answered by josgarithmetic)
If two angles of a triangle are acute, than the third angle.... A. must be right B.... (answered by Edwin McCravy,Alan3354)
In a right triangle suppose an acute angle measures 35degrees. If the side opposite that... (answered by Fombitz)
Explain why the other two angles of a triangle must be acute if one angle is a right... (answered by TutorDelphia)