Respuesta :

9514 1404 393

Answer:

  13.  a = 6; b = 2

  14.  a = 3; b = 6

Step-by-step explanation:

The ratios of side lengths in a 30°-60°-90° triangle are ...

  1 : √3 : 2

In ∆ABD, these are the ratios of sides ...

  BD : AD : AB = 1 : √3 : 2

Since BD is given as 3√2, we can multiply these ratio values by that factor to get the actual side lengths:

  BD : AD : AB = 3√2×1 : 3√2×√3 : 3√2×2

  = 3√2 : 3√6 : 6√2

That is ...

13.  AB = 6√2  ⇒ a=6, b=2

14:  AD = 3√6  ⇒ a=3, b=6

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