Question

LMN similar XYZ. A (LMN) = 81 unitsLM = 9 units XY = 8 units. A ( XYZ) = ?​

Answer 1

64 sq. units is answer

Theorem:-

the ratio of areas of similar triangle is equal to ratio of square of it's corresponding sides

Given

LMN ~ XYZ

To find

A(XYZ) =?

Solution :-

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

Answer 2

Answer:

LM=XY

XY=LM

A(LMN)=A(XYZ)