Prove that the ratios of the areas of two similar triangles is equal to the ratio of the squares of the corresponding sides by using equilateral triangles scelane triangles
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We can prove this by formulating a theorm like the given statement such as
If ΔABC ~ ΔDEF such that BC = 3 cm and EF = 4 cm and the
area of ΔABC = 54 cm 2 . Find the area of ΔDEF.
As given in the statement we get,
Area of ΔABC/ Area of ΔDEF = BC²/ EF²
Putting the values
54/ Area of ΔDEF = 32/ 42
or
Area of DEF = 54 x 16/ 9
Area of DEF = 96 cm²
If ΔABC ~ ΔDEF such that BC = 3 cm and EF = 4 cm and the
area of ΔABC = 54 cm 2 . Find the area of ΔDEF.
As given in the statement we get,
Area of ΔABC/ Area of ΔDEF = BC²/ EF²
Putting the values
54/ Area of ΔDEF = 32/ 42
or
Area of DEF = 54 x 16/ 9
Area of DEF = 96 cm²
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