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Two triangles are similar. The sides of the first triangle are 4,5,and 6. The largest side of the second triangle is 24. Find the perimeter of the second triangle.

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mhanifa

Answer:

  • The perimeter of the second triangle is 60 units.

Step-by-step explanation:

If two triangles are similar, their corresponding sides will be k times greater or smaller, where k is the scale factor.

We have two corresponding sides given, 6 and 24 or 6k. Using this info, find the value of k:

  • k = 24/6 = 4

The other sides of the larger triangle are:

  • 4k = 4*4 = 16
  • 5k = 5*4 = 20

The perimeter is the sum of sides:

  • P = 16 + 20 + 24 = 60

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