Question

if these two shapes are similar, what is the measure of the missing length j?
2 mm
j
3 mm
1 mm
j = millimeters
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Explanation:

Step1: Identify the scale factor

For similar shapes, the ratios of corresponding sides are equal. The base of the first triangle is 2 mm and the base of the second is 1 mm. So the scale factor from the second to the first is $\frac{2}{1} = 2$.

Step2: Apply the scale factor to the known side

The side of the second triangle is 3 mm. Multiply by the scale factor to find \( j \): \( j = 3\times2 = 6 \).

Answer:

6