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Two corresponding sides of two similar triangles are 3cm and 5cm. The area of the first triangle is 12cm^2. What is the area of the second triangle?
 one year ago
 one year ago
Two corresponding sides of two similar triangles are 3cm and 5cm. The area of the first triangle is 12cm^2. What is the area of the second triangle?
 one year ago
 one year ago

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soty2013Best ResponseYou've already chosen the best response.0
dw:1359816217913:dw
 one year ago

NaerroBest ResponseYou've already chosen the best response.1
Since the triangles are similar, their corresponding sides are proportional. In this case the proportion is 3:5. However, the area is calculate by multiplying 2 sides or a side and an altitude. This means the area is squarely proportional to the sides. The area of the second triangle would be \[\left( \frac{ 3 }{ 5 } \right)^{2}\] multiplied by the area of the first triangle.
 one year ago

NaerroBest ResponseYou've already chosen the best response.1
Oops, I meant \[\left( \frac{ 5 }{ 3 } \right)^{2}\]
 one year ago
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