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In right triangle ABC, measure of angle ACB= 90 and segment CD is the altitude to the hypotneuse AB. Ad= 6 cm and BD= 4 cm. Find the length of segment CD to the nearest hundredth.

  • geometry -

    The two little triangles are similar to the big one because they are all right triangles sharing one angle so sharing all angles (sum is 180)

    A = CAD = BCD
    B = CBD = ACD

    CD/6 = 4/CD similar triangles
    CD^2 = 4*6
    CD = 2 sqrt 6

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