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STatiana [176]
3 years ago
13

In the diagram below, triangle ABC is drawn with altitude BD. If AD = 30 and AC = 36, determine the length of AB rounded to the

nearest tenth.​

Mathematics
1 answer:
denis-greek [22]3 years ago
5 0

9514 1404 393

Answer:

  32.9

Step-by-step explanation:

The ratio of long side to hypotenuse is the same for all of the triangles in the figure.

  AD/AB = AB/AC

  AB^2 = AD·AC = 30·36

  AB = 6√30 ≈ 32.863

To the nearest tenth, AB ≈ 32.9.

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