Question

A triangle similar to given $\Delta ABC$with sides equal to $\frac{3}{4}$ of the sides of $\Delta ABC$ is constructed.

$\frac{B{C}^{\prime }}{BC}$ is equal to____.

• A. $\frac{B{A}^{\prime }}{C{A}^{\prime }}$
• B. $\frac{B{A}^{\prime }}{BA}$
• C. $\frac{BC}{AC}$
• D. $\frac{B{C}^{\prime }}{B_3{C}^{\prime }}$

Answer 1

The correct option is B $\frac{B{A}^{\prime }}{BA}$

As $\Delta ABC\sim \Delta A^{\prime }B{C}^{\prime }$,
$\frac{B{C}^{\prime }}{BC}=\frac{B{A}^{\prime }}{BA}=\frac{A^{\prime }{C}^{\prime }}{AC}=\frac{3}{4}$