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The areas of two similar triangles are 18cm^2 and 8cm^2. One of the sides of the first triangle is 4.5cm. What is the length of the corresponding side of the other triangle? Please answer ASAP!!! Thank you!!!

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mhanifa

Answer:

  • 3 cm

Step-by-step explanation:

The area is the product of two dimensions, therefore the scale factor is:

  • A/A' = (b*r*h*r)/(b*h) = r²
  • r² = 18/8
  • r = √9/4 = 3/2 = 1.5

The length of the corresponding side will be:

  • a/a' = r
  • a' = a/r
  • a' = 4.5 / 1.5
  • a' = 3 cm

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