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if smaller similar triangle has area of 270 ft^2 and is only 25 ft. how much is the area of the bigger triangle that is 35?

 Jul 28, 2016
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If two triangles are similar, the ratio of their areas equals the ratio of the squares of their corresponding sides.

 

     Area1 / Area2  =  side12 / side22

 

--->   270 / x  =  252 / 352

--->   270 / x  =  625 / 1225          Cross multiply:

--->   1225·270  =  625·x

--->   330 750  =  625x                 Divide by 625:

--->     x  =  529.2

 

Notice that the sides are squared but the areas aren't.

 Jul 28, 2016

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