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?

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To find the measures of the remaining sides of the similar triangle, follow these steps:

1. **Identify the Corresponding Sides:**
   - Original triangle sides: 4 cm, 8 cm, and 10 cm.
   - Similar triangle's shortest side: 11 cm.
   - The shortest side of the original triangle is 4 cm, so it corresponds to 11 cm in the similar triangle.

2. **Determine the Scale Factor:**
   $$
   \text{Scale factor} = \frac{\text{New side}}{\text{Original side}} = \frac{11}{4}
   $$

3. **Calculate the Remaining Sides:**
   - **Second side:**
     $$
     8 \, \text{cm} \times \frac{11}{4} = 22 \, \text{cm}
     $$
   - **Third side:**
     $$
     10 \, \text{cm} \times \frac{11}{4} = 27.5 \, \text{cm}
     $$

**Therefore, the measures of the remaining sides of the similar triangle are 22 cm and 27.5 cm.**
The remaining sides of the similar triangle are 22 cm and 27.5 cm.

The sides of a triangle measures and 10 cm . If the shortest side of a similar
triangle measure 11 cm . find the measure of the remaining sides of this triangle?

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The sides of a triangle measures and 10 cm . If the shortest side of a similar triangle measure 11 cm . find the measure of the remaining sides of this triangle?