SOLUTION: The perimeters of two similar triangles is in the ratio 3:4. The sum of their area is 75cm^2. Find the area of each triangle.

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Question 1015241: The perimeters of two similar triangles is in the ratio 3:4. The sum of their area is 75cm^2. Find the area of each triangle.
Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
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The perimeters of two similar triangles is in the ratio 3:4. The sum of their area is 75cm^2. Find the area of each triangle.
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If the perimeters' ratio is 3:4, then the areas' ratio is 9:16 (the triangles are similar !).


Since S1 + S2 = 75  and  = , then

S1 =  =  = 3*9 = 27  and 

S2 =  =  = 3*16 = 48 .


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