The triangle will be enlarged by a scale factor of 10. A triangle with base 10 centimeters and height 7 centimeters. What will be the area of the new triangle?

  3500 cm²

Step-by-step explanation:

The given triangle has an area of ...

  A = (1/2)bh = (1/2)(10 cm)(7 cm) = 35 cm²

The area of the enlarged triangle will be 10² = 100 times that, or 3500 cm².

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You can see this if you use the enlarged dimensions in the area formula:

  A = (1/2)bh = (1/2)(10·10 cm)(10·7 cm) = 100·35 cm² = 3500 cm

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.