Question

let ABC similar DEF and their areas b respectively 64 cm^2 and 121 cm^2. if EF= 15.4 cm, find BC​

Answer 1

your answer is in attachment

Hope helped you out

Hope everything is clearly visible

Answer 2

$\frak {\underline{\orange{Answer}}}$

Area of ∆ ABC = 64 cm²

Area of ∆ DEF = 121 cm²

We know that :-

∆ ABC $\sim$ ∆ DEF

We also know :-

$\sf \frac{ar(ABC)}{ar(DEF)} = {(\frac{AB}{DE} )}^{2}= {(\frac{BC}{EF} )}^{2}={(\frac{AC}{DF} )}^{2}$

$\sf \frac{64}{121} = { (\frac{(BC)}{(15.4)}) }^{2}$

$\sf \frac{BC}{15.4} = \sqrt{ \frac{64}{121} }$

$\sf \frac{BC}{15.4} = \frac{8}{11}$

$\sf BC = \frac{8}{11} \times 15.4$

$\boxed{\purple{\sf{ BC = 11.2}}}$

BC = 11.2 cm