To find the perimeter of the dilated triangle, first calculate the perimeter of the original triangle.
The sides of the original triangle are:
- 7 cm
- 25 cm
- 24 cm
Calculate the perimeter of the original triangle:
\[ \text{Perimeter} = 7 , \text{cm} + 25 , \text{cm} + 24 , \text{cm} = 56 , \text{cm} \]
Now, since the triangle is dilated using a scale factor of 2, each side of the triangle is multiplied by 2. Therefore, the sides of the dilated triangle will be:
- \(7 , \text{cm} \times 2 = 14 , \text{cm}\)
- \(25 , \text{cm} \times 2 = 50 , \text{cm}\)
- \(24 , \text{cm} \times 2 = 48 , \text{cm}\)
Now, calculate the perimeter of the dilated triangle:
\[ \text{Perimeter of dilated triangle} = 14 , \text{cm} + 50 , \text{cm} + 48 , \text{cm} = 112 , \text{cm} \]
So, the perimeter of the dilated triangle is 112 cm.
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