Question

it is given that triangle ABC~ Triangle DEFand BCEF=15.then undefined control sequence/operatorname is equal to​

Answer 1

Given:

$\[\Delta ABC\]$ is similar to $\[\Delta$DEF and $\[\frac{{BC}}{{EF}} = \frac{1}{5}\]$ then find ratio of areas of triangle DEF to triangle ABC.

Solution:

Know that the ratio of the areas of the to similar triangle is equal to the ratio of the square of there corresponding sides,

Therefore,

$\[\Delta \]$DEF : $\[\Delta \]$ ABC $\[ = {5^2}:1\]$

$\[\Delta \]$DEF :$\[\Delta \]ABC$ $\[ = 25:1\]$

Hence, The areas of triangle DEF to triangle ABC is 25 : 1.