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CBSE Class 10 Answered

prove of pythagoras theoram  
Asked by amolshukal.2001 | 18 Jan, 2018, 09:07: AM
answered-by-expert Expert Answer
begin mathsize 16px style Given colon space In space increment ABC space angle ABC equals 90 degree
To space Prove colon space AC squared equals AB squared plus BC squared
Construction colon space BD perpendicular AC
Proof colon space BD perpendicular AC
Using space thereom comma
straight A space perpendicular space is space drawn space from space the space vertex space of space right space
angle space of space straight a space right space triangle space to space the space hypotenuse space then space triangle
on space both space side space of space the space perpendicular space are space similar space to space whole space triangle space and space to space each space other.
increment ADB tilde increment ABC
AD over AB equals AB over AC
AB squared equals AD cross times AC.......... left parenthesis straight i right parenthesis
increment BDC tilde ABC
CD over BC equals BC over AC
BC squared equals CD cross times AC........ left parenthesis ii right parenthesis
Add space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis
AB squared plus BC squared equals AD cross times AC plus CD cross times AC
AB squared plus BC squared equals AC open parentheses AD plus CD close parentheses
AB squared plus BC squared equals AC cross times AC
AB squared plus BC squared equals AC squared
end style
Answered by Sneha shidid | 18 Jan, 2018, 02:57: PM
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