SOLUTION: A triangle has sides length x+4, 2x+2, and 3x-1 . If two of the angles of the triangle are equal, what are the possible values of x?
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Question 246270: A triangle has sides length x+4, 2x+2, and 3x-1 . If two of the angles of the triangle are equal, what are the possible values of x? Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website! if we have an isosceles triangle, two sides angles and two sides are equal.
If two angles of a triangle are equal then two sides are equal.
There are three possible cases.
a=b
a=c
b=c
x+4= 2x+2
subtract x and 2 from both sides
x=2
x+4= 3x-1
subtract x and add 1 to both sides
2x=5
divide by 2
x=2.5
2x+2= 3x-1
subtract x and add 1 to both sides
x=3
