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yan [13]
3 years ago
9

15. Find the length of segment DE of the triangle ABC.

Mathematics
1 answer:
ruslelena [56]3 years ago
4 0

Answer:

Option C. 26\ units

Step-by-step explanation:

we know that

Triangles ADE and ABC are similar by AA similarity postulate

AB=2AD

Apply proportion

\frac{AD}{AB}=\frac{8x-6}{12x+4}\\ \\\frac{AD}{2AD}=\frac{8x-6}{12x+4}\\ \\\frac{1}{2}=\frac{8x-6}{12x+4}\\ \\12x+4=16x-12\\ \\16x-12x=4+12\\ \\4x=16\\ \\x=4\ units

Find the length of segment DE

DE=8x-6=8(4)-6=26\ units

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