# Distance to side

Geometry Level pending

$$ABC$$ is a right triangle with $$m\angle C=90^{\circ}$$. $$AC=10\text{ units}^2$$ and $$BC=24\text{ units}^2$$. Point $$P$$ is located inside $$ABC$$ such that the distance from $$P$$ to $$AB$$ is twice the distance from $$P$$ to $$AC$$, and the distance from $$P$$ to $$AC$$ is twice the distance from $$P$$ to $$BC$$. In $$\text{units}^2$$, what is the distance from $$P$$ to $$AB$$?