Question

Find the area of the following triangle.

Answer 1

If LP is perpendicular to MN, it would also be a median (ML $=$LN)

$\Rightarrow$ PN$=2.5$ & we see $L{N}^2=L{P}^2+P{N}^2$

$\Rightarrow LP\perp MN$

$\Rightarrow$ Area of triangle$=\frac{1}{2}\times$ base $\times$ height

$=\frac{1}{2}\times 5\times 6=15c{m}^2$.