Question

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!!!

Answer 1

• 3 cm

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