Question

△LMN ~ △XYZ. A (△LMN) = 81 units2 LM = 9 units XY = 8 units. A (△XYZ) = ?

Answer 1

Given

LMN ~ XYZ

To find

A(XYZ) =?

Solution :-

$\begin{gathered} \frac{A(LMN )}{A(XYZ )} = \frac{ {LM}^{2} }{ {XY}^{2} } \\ \frac{81}{A(XYZ)} = \frac{ {9}^{2} }{ {8}^{2} } \\ A(XYZ ) = 64\end{gathered}$