in a right angled at b a c minus ab is equal to 2 cm BC is equal to 8 cm find the value of AC
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AC-AB=2
AB= AC-2 ----equation 1
BC=8cm(given)
Since ABC is right angled,
AC^2= AB^2+ BC^2(pythogoras theorem)
AC^2- AB^2=BC^2
(AC-AB)(AC+AB)= BC^2 (a^2-b^2=(a+b) (a-b) )
(2)( AC+AC-2) = 8
2AC-2= 8÷2
2AC= 4+2
AC=6÷2
AC=3cm
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thanks !!!
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