The area of the dilated triangle is 108 mm²
Transformation is the movement of a point from its initial location to a new location. Types of transformation include translation, reflection, rotation and dilation.
Dilation is the increase or decrease in the size of a figure by a factor.
Area of a triangle (A) = (1/2) * base (b) * height (h)
A = (1/2)bh
Since the area is 3 mm², hence:
(1/2)bh = 3
If the triangle is dilated by a factor of 6, new base (b') = 6b, new height (h') = 6h. Hence:
New area (A') = (1/2)b'h'
A' = (1/2) * 6b * 6h = 36 * (1/2) * b * h
A' = 36A = 36 * 3
A' = 108 mm²
The area of the dilated triangle is 108 mm²
Find out more on dilation at: https://brainly.com/question/13176891
