The sides of a triangle have lengths 2x + 2, 4x, and 5x + 1. The longest side of the triangle has a length of 5x + 1. For what v
alues of x is the triangle obtuse?
1 answer:
Answer:
Step-by-step explanation:
(5x+1)²>(2x+2)²+(4x)²
25x²+10x+1>4x²+8x+4+16x²
5x²+2x-3>0
5x²+5x-3x-3>0
5x(x+1)-3(x+1)>0
(x+1)(5x-3)>0
x+1=0,gives x=-1
5x-3=0,gives x=3/5
x >0(because 4x should be >0)
side is always positive.
so x>3/5
again 5x+1<2x+2+4x
5x-6x<2-1
-x<1
x>-1
x=all real values >3/5
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