The area of \triangle E B D is one third of the area of 3-4-5 \triangle A B C. Segment D E is perpendicular to segment A B. What is B D ?

**Answer Choices**

A. \dfrac{4}{3}

B. \sqrt{5}

C. \dfrac{9}{4}

D. \dfrac{4 \sqrt{3}}{3}

E. \dfrac{5}{2}

The area of \triangle E B D is one third of the area of 3-4-5 \triangle A B C. Segment D E is perpendicular to segment A B. What is B D ?

**Answer Choices**

A. \dfrac{4}{3}

B. \sqrt{5}

C. \dfrac{9}{4}

D. \dfrac{4 \sqrt{3}}{3}

E. \dfrac{5}{2}