michaellittleton07
michaellittleton07 michaellittleton07
  • 26-03-2022
  • Mathematics
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What is the length of the altitude drawn to the hypotenuse? The figure is not drawn to scale

What is the length of the altitude drawn to the hypotenuse The figure is not drawn to scale class=

Respuesta :

jdanquah2023
jdanquah2023 jdanquah2023
  • 26-03-2022

Answer:

h = 4∜17

Step-by-step explanation:

In a right triangle, if the legs are a and b, the hypotenuse is c, and the altitude to the hypotenuse is h, then using similar triangles,

a/h = h/H

h^2 = aH

so plug in your numbers. If the two you gave are the legs, then

h^2 = 4*4√17

h = 4∜17

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