True or False? If a triangle has two angles of equal measure, then the third angle is obtuse.
True or False? For triangle ABC, if A= 52 degrees, B= 88 degrees, and C= 40 degrees, then line segment AB is the shortest side.
2007-04-11 07:20:36 · 5 answers · asked by taylor17brown 1 in Science & Mathematics ➔ Mathematics
1. true-unless it is a right triangle, the third angle has to be obtuse
2007-04-11 07:31:52 · answer #1 · answered by tandyrae_1976 3 · 0⤊ 0⤋
1. False, two 45 degree angles would leave a 90 degree angle thus forming a right angle not an obtuse.
2. True, the smallest side will always be accross from the smallest angle in this case AB is accross from angle C which is the smallest angle.
2007-04-11 14:29:26 · answer #2 · answered by Alan D. 2 · 0⤊ 0⤋
Question 1: Look up "Equilateral triangle". I think you'll find your answer
The shortest segment will be opposite the smallest angle. Draw your triangle, labeling each vertex and the associated angle. Then see which side is opposite the smallest angle.
2007-04-11 14:29:25 · answer #3 · answered by dogsafire 7 · 0⤊ 0⤋
1. Sum of angles = 180°. I'm sure your can think of a counterexample...
2. The shortest side is opposite the smallest angle.
2007-04-11 14:27:14 · answer #4 · answered by Anonymous · 0⤊ 0⤋
1. False
2. True
2007-04-11 14:25:46 · answer #5 · answered by Surveyor 5 · 0⤊ 0⤋