Asked by math
                Triangle abc is similar to triangle def, de=4, ab=x, ac=x+2, df= x+6
What does length ab equal?
            
        What does length ab equal?
Answers
                    Answered by
            Reiny
            
    Did you make a sketch of the two triangles??
Fill in the corresponding data values.
<b>If triangles are similar, then their corresponding sides
are in the same ratio.</b>
Let me know what your opening equation is.
    
Fill in the corresponding data values.
<b>If triangles are similar, then their corresponding sides
are in the same ratio.</b>
Let me know what your opening equation is.
                    Answered by
            math 2.0
            
    I did proportions and got x^2+2x=8
I don't remember if I can factor x^2+2x
    
I don't remember if I can factor x^2+2x
                    Answered by
            Reiny
            
    You were doing great so far.
x^2+2x=8 <------ a quadratic, put it in proper form.
x^2 + 2x - 8 = 0
(x + 4)(x - 2) = 0
x = -4 or x = 2, but x could not be negative, so x = 2
and AB = 2
    
x^2+2x=8 <------ a quadratic, put it in proper form.
x^2 + 2x - 8 = 0
(x + 4)(x - 2) = 0
x = -4 or x = 2, but x could not be negative, so x = 2
and AB = 2
                    Answered by
            math 2.0
            
    ohhh okay thank you
    
                    Answered by
            Henry2
            
    AB/DE = AC/DF.
x/4 = (x+2)/(x+4),
x^2 + 6x = 4x + 8,
x^2 + 2x -8 = 0,
(x-2)(x+4) = 0,
X = 2, and -4.
AB = X = 2.
We used the +value of X.
    
x/4 = (x+2)/(x+4),
x^2 + 6x = 4x + 8,
x^2 + 2x -8 = 0,
(x-2)(x+4) = 0,
X = 2, and -4.
AB = X = 2.
We used the +value of X.
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