Question

$L,MandN$ are mid-points of sides $AB,BCandCA$ of triangle $ABC$. If area of triangle $ABC$ is $48$ units, the area of triangle $LMN$ will be

• A. $6$ units
• B. $8$ units
• C. $12$ units
• D. $24$ units

Answer 1

Answer: (C)

$12$ units

When $\Delta ABC$ is divided into 4 smaller triangles, then each of the four smaller triangles are congruent to each other. Also, congruent triangles have equal area.
Hence the area of $\Delta LMN=\frac{1}{4}areaof\Delta ABC=12sq.cm.$