SOLUTION: A triangle has a side of length x . The second side of the triangle is 2 inches
longer than the first side. The third side is 4 inches longer than the first side. The
squar
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-> SOLUTION: A triangle has a side of length x . The second side of the triangle is 2 inches
longer than the first side. The third side is 4 inches longer than the first side. The
squar
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Question 344438: A triangle has a side of length x . The second side of the triangle is 2 inches
longer than the first side. The third side is 4 inches longer than the first side. The
square of the first side plus the square of the second side is equal to the square of the
third side. What is the length if each side of the triangle? USE THE 5-STEP METHOD.
This is how much I've figured out so far:
x²+(x+2)²=(x+4)²
x²+x²+2x+2x+4 = x²+4x+4x+16
x(4)+4+4 = x²+8x+16
-4x -4x
x(4)+4 = x² +4x+16
x(4)+4-4 = x²+4x+16-4
x(4) = x²+4x+12
-x² = -x²
So if x²=4x+12, SOLVE FOR X.
I think the answer is 6, but I don't know the procedure.
I.E,
x=5 x=6
25=20+12 36=24+12
25=32 36=36
6²+8²+10²
36+64 =100
x=6
I need help ASAP, please!!! Thank you!! :)
You can put this solution on YOUR website! x²+(x+2)²=(x+4)²
x²+x²+2x+2x+4 = x²+4x+4x+16 It's ok this far
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x(4)+4+4 = x²+8x+16 ????
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(x-6)(x+2) = 0
x = -2 (Ignore)
x = 6
You can put this solution on YOUR website! Up to here you are golden move everything to one side
So either (x-6 = 0) or (x+2=0)
Thus x = 6 or x = -2
Since the length of a side cannot be -2, then x must be 6
If x = 6, then x+2 = 8 and x + 4 = 10
Get it?
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