Question

triangle tuv is dilated by a scale factor of \\(\frac{2}{3}\\) to form triangle tuv. what is the measure of side tu?
(image of triangle tuv with sides: tv = 47, uv = 59.4, tu = 63)

Explanation:

Step1: Recall dilation property

Dilation scales side lengths by the scale factor. Original \( TU = 63 \), scale factor \( \frac{2}{3} \).

Step2: Calculate \( T'U' \)

Multiply original length by scale factor: \( T'U' = 63 \times \frac{2}{3} \).
Simplify: \( 63 \div 3 = 21 \), \( 21 \times 2 = 42 \).

Answer:

42