2. The sides of a triangle measures \( 4 \mathrm{~cm}, 8 \mathrm{~cm} \) and 10 cm . If the shortest side of a similar triangle measure 11 cm . find the measure of the remaining sides of this triangle?

To find the remaining sides of the similar triangle, we can use the concept of proportionality. Since the sides of the original triangle are \( 4 \mathrm{~cm}, 8 \mathrm{~cm} \), and \( 10 \mathrm{~cm} \), we start by determining the scale factor. The shortest side of the original triangle is \( 4 \mathrm{~cm} \) and the shortest side of the similar triangle is \( 11 \mathrm{~cm} \). The scale factor is \( \frac{11}{4} \). Now, we multiply the remaining sides of the original triangle by this scale factor: - For the side measuring \( 8 \mathrm{~cm} \): \( 8 \times \frac{11}{4} = 22 \mathrm{~cm} \) - For the side measuring \( 10 \mathrm{~cm} \): \( 10 \times \frac{11}{4} = 27.5 \mathrm{~cm} \) Therefore, the remaining sides of the similar triangle are \( 22 \mathrm{~cm} \) and \( 27.5 \mathrm{~cm} \). So the sides of the similar triangle are \( 11 \mathrm{~cm}, 22 \mathrm{~cm}, \) and \( 27.5 \mathrm{~cm} \).