The required scale factor for the dialed triangle is given by SF= 6.28
A triangle with vertices at A(0,0), B(0,4), and C(6,0) is dilated to yield a triangle with vertices at A(0,0), (B(0,10), and C (C(15,0).
<h3>What is scale factor?</h3>
The scale factor is defined as the ratio of modified change in length to the original length.
Since, the height and base of the triangle is y coordinate of B and x coordinate of c is given by 4, 6
Area of triangle =1/2(base x height)
= 1/2 (4 x 6)
= 4.8
Similarly, for dilated triangle
Area of dilated triangle = 30
Now, scale factor(SF) = area of dilated triangle \ area of triangle
SF = 30/4.8
SF = 6.25
Thus, the required scale factor is SF = 6.25
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