Question

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.​

Answer 1

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Answer:

32.9

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.