Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 36 and DC = 8, what is the length of BD in simplest radical form?

Respuesta :

The length of BD is 16.97.

Trigonometry

To determine, given that right triangle ABC with altitude BD is drawn to hypotenuse AC, if AD = 36 and DC = 8, what is the length of BD in simplest radical form, the following calculation must be performed:

  • Hypotenuse AC = AD + DC = 36 + 8 = 44
  • Altitude = square root of the multiplication of AD and DC
  • √(36 x 8) = X
  • √288 = X
  • 16.97 = X

Therefore, the length of BD is 16.97.

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