Question

Areas of two similar triangles are 225sq.cm. 81sq.cm. if a side of the smaller triangle is 12cm,find corresponding sides of the bigger triangle​

Answer 1

If two triangle is similar then,

$\frac{area \: of \: Δ1}{area \: of \: Δ2} = ( \frac{side \: of \: Δ1} {side \: of \:Δ2 } )^{2}$

$\frac{225}{81} = ( \frac{x}{12}) {}^{2}$

$= x = 12 \: \times \: \sqrt{ \frac{225}{81} } = 12 \times \frac{15}{9} = 20 \: cm$