The ratio of the areas of two similar triangles is 16:9. What is the ratio of the lengths of corresponding sides? Please show your work here.

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- Jan 30th 2010, 03:43 PMFHS93Ratio of the areas of two similar triangles
The ratio of the areas of two similar triangles is 16:9. What is the ratio of the lengths of corresponding sides? Please show your work here.

- Jan 30th 2010, 04:16 PMjasonlewiz
Area of triangle 1 = 16

Area of triangle 2 = 9

Since area is the only one given I suppose that the triangle is an equilateral

get the sides of T1

16x4=64/square root of 3=36.95 then square the answer give you 6.08

get the sides of T2

9x4=36/square root of 3=20.78 then square the answer give you 4.56

Now get the ration T1:T2

6:5 ^^ - Jan 30th 2010, 06:32 PMmr fantastic