Right triangles geometry really difficult can anyone help?

Please give an answer and a explanation if you can pleaseeee

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  • 1 month ago

     Right Triangle ABC: 

      Angle B = 90, BC = 4,  AB = AC 

     10) 

     AB = 4√2

    11) 

     AC = 4√2

     

     Right Triangle ABC:

     Angle B = 90, BC = 16, AB = AC 

    12) 

     AB = 8√2

    13)

     BC = 8√2

  • 1 month ago

    The Triangle ABC is a right - triangle and is also an Isosceles Triangle, because AB = BC ( Hatched lines) 

    Then using Pythagoras 

    AC^2= AB^2 + 4^2 

     Since AB = BC 

    Then we can say 

    AC^2 = 4^2 + 4^2

    AC^2 = 16 + 16 

    AC^2 = 32 

    AC = sqrt(32) = 4sqrt(2)  ( Simplified Radical form ).

    From above AB = 4 

    Similarly 

    16^2 = AB^2 + BC^2 

    16^2 = 2AB^2 

    16 = ABsqrt(2)

    AB = 16sqrt(2) / 2 = 8sqrt(2) 

    Since AB = BC , then BC = 8sqrt(2)  

  • 1 month ago

    If you only know one side, it is impossible.

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