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Hoochie [10]
4 years ago
11

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 trise

ct ∠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)
Mathematics
1 answer:
Lana71 [14]4 years ago
7 0

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

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

For example, in <span><span>△BCD,BD:CD=2:1</span><span>△BCD,BD:CD=2:1</span></span>. Therefore <span><span><span>BD=20</span></span><span>BD=20</span></span>

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If DE = 4 x + 10, EF = 2 x -1, and DF = 9 x - 15, what is the length of DF?
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