Question

3. Darcy mounted a motion sensor so it would light a path to the door on her deck. If you know AB = 10 feet, and BE and BD trisect ∠ABC, what is the perimeter of the deck area to the right of the beam of light (△BDC)? Part 1: What other angles or sides of △BDC can you label given that side AB is 10 feet, BE and BD trisect ∠ABC? Label the diagram accordingly, and explain your reasoning. (4 points)

Answer 1

n a 30-60-90 right (special) angled triangle, the lengths are in the ratio 1:3‾√:21:3:2.

In your figure, there are three triangles of such type. Use ratios on similar triangles to calculate each length.

For example, in △BCD,BD:CD=2:1△BCD,BD:CD=2:1. Therefore BD=20BD=20