Finn231 Finn231

03-04-2021
Mathematics

contestada

The ratio of one side of ΔABC to the corresponding side of similar ΔDEF is 3:5. The perimeter of ΔDEF is 48 inches. What is the perimeter of ΔABC?

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adefunkeadewole adefunkeadewole

08-04-2021

Answer:

28.8 inches

Step-by-step explanation:

We solve the above question using Proportion

The ratio of one side of ΔABC to the corresponding side of similar ΔDEF is 3:5.

ΔABC/ΔDEF = 3/5

Hence,

The perimeter of ΔDEF is 48 inches.

Let the perimeter of ΔABC = x inches

3/5 = x/48

Cross Multiply

5x = 48 × 3

x = 48 × 3/5

x = 28.8 inches

The perimeter of ΔABC is 28.8 inches

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