Question

The corresponding sides of two similar triangles are in the ratio of 2:3. If the are of the smaller triangle is 56cm^2, find the area of the larger triangle

Answer 1

Let the area of larger triangle be "x"

Make up the proportion

`(56)/(x) =((2)/(3) )^2\\\\(56)/(x) =(4)/(9) \\\\x=(56*9)/(4) \\x=126cm^2`

Answer: S=126cm²