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Give the simplified radical form for each side length requested.


Pls answer only if you can explain and if your sure it’s the right answer.

I need help in understanding how to work it myself so please make sure you explain well.

Give the simplified radical form for each side length requested Pls answer only if you can explain and if your sure its the right answer I need help in understa class=

Respuesta :

mhanifa

Answer:

  • See below

Step-by-step explanation:

30×60×90 right triangle has side ratios as:

  • s : l : h = 1 : √3 : 2, where s- short leg, l - long leg, h - hypotenuse

45×45×90 right triangle has side ratios as:

  • l : l : h = 1 : 1 : √2, where l- legs, h- hypotenuse

If you know one of the sides its easy to find the missing ones.

a) 30×60×90 right triangle

  • Given l = 12
  • s : 12 : h = 1 : √3 : 2
  • CB = s = 12 / √3 = 12√3/3 = 4√3
  • AB = h = 2s = 2*4√3 = 8√3

b) 45×45×90 right triangle

  • Given l = √22
  • BC = l = √22
  • AB = l√2 = √22×√2= √44 = 2√11

c)  30×60×90 right triangle

  • Given h = 20√6
  • s : l : 20√6 = 1 : √3 : 2
  • BC = s = h/2 = 20√6/2 = 10√6
  • AC = l = s√3 = 10√6×√3 = 10√18 = 10×3√2 = 30√2