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    HELP PLEASE HL project maths geometry sophiaon

    anyone know how to find k in 2013 Q9a please!? i dont understand where theyre getting the figures for after you do the 2 pythagoras' theorem... :(

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      sophiaon

      paper 2

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      PodgeS

      work with the three triangles , the two smaller ones and the triangle overall.

      get the hypotheneuses of the two smaller triangles in terms of x, then sub these expressions into a pythagorian formula for the overall triangle.

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      anastasiasoph

      Add the two phythagoras equations=

      2k^2=(〖XY〗^2+〖XZ〗^2)-16-64

      2k^2=(〖XY〗^2+〖XZ〗^2)-80

      Byt....

      (〖XY〗^2+〖XZ〗^2)= 〖YZ〗^2

      ([(XY)]^2+[(XZ)]^2)= 12^2

      (〖XY〗^2+〖XZ〗^2)= 144

      therfore...

      2k^2=144-80

      2k^2=64

      k^2=32

      k=√32

      k=4√2

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      sophiaon

      thanks so much!!

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      Me

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