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If BC -16 and BD-9 then find the length of BA. Show the work you use to find your answer. Draw the two similar triangles separately to help set up the proportion.

If BC 16 and BD9 then find the length of BA Show the work you use to find your answer Draw the two similar triangles separately to help set up the proportion class=

Respuesta :

frika

In right triangle the leg is geometrical mean of its projection on the hypotenuse and the hypotenuse. Thus,

[tex] AB^2=BD\cdot BC [/tex].

Substitude BC=16, BD=9, then

[tex] AB^2=9\cdot 16,\\ AB^2=144,\\ AB=12 [/tex].

Answer: AB=12

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