SOLUTION: The Perimeters of two triangles is in the ratio of 2:4. The sum of their areas is 100 cm squared. Find the area of each triangle?
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Question 1004239: The Perimeters of two triangles is in the ratio of 2:4. The sum of their areas is 100 cm squared. Find the area of each triangle?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
That ratio is also 1:2.
Let x,y,z be the lengths of each side for the small triangle. The altitude is also in the same ratio between the two triangles (because linear measures).
Small perimeter, x+y+z
Large perimeter, 2(x+y+z)
If h is the altitude of the small triangle, the 2h is altitude for large triangle.
Small area,
large area,
Their summed areas is
This can now be used for finding the value of each area.
Small Triangle,
Large Triangle,
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