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Two triangles are similar. The perimeter and area of the smaller triangle are $2$. The perimeter of the larger triangle is $3$. What is the area of the larger triangle?

 

At first I got 3 for the area, but it's wrong. What's the correct way to solve this problem?

 

Thanks! 

 Jan 27, 2021
 #1
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If the perimeter of  the larger  triangle is  3   and  the  perimeter of  the  smaller  triangle  is 2, the  scale factor  is  (3/2)

 

And  the area of the  larger triangle      =

 

Area of  smaller  triangle  *  (scale factor)^2   =

 

2  *  ( 3/2)^2   =

 

2 *    9/4   =

 

18 /4   =

 

9/2  = 4.5

 

 

cool cool cool

 Jan 27, 2021
 #2
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Thank you CPhill! :DDDDD

Guest Jan 27, 2021

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