Question

2. If∆ABC ~ ∆DEF and their areas are 64 cm. and 121 cm", respectively
then find AB : DE​

Answer 1

Answer:

AB:DE=8/11...........

Answer 2

Step-by-step explanation:

Given that ,

∆ABC~∆DEF

SO ,

ar(∆ABC)/ar(∆DEF) =

$\frac{ {ab}^{2} }{{de}^{2} }$

or (AB/DE)^2

$\frac{64}{121} = \frac{ {ab}^{2} }{ {de}^{2} }$

$\sqrt{ \frac{64}{121} } = \frac{ab}{de}$

$\frac{8}{11} = \frac{ab}{de}$

therefore , the required ratio of AB:DE is 8:11.

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