Q no 25

Asked by sucharitasahoo1 | 26th Nov, 2017, 10:01: AM

Expert Answer:

begin mathsize 16px style PX over XQ equals YR over QY equals 3 over 2
fraction numerator begin display style PX plus XQ end style over denominator begin display style XQ end style end fraction equals fraction numerator begin display style YR plus QY end style over denominator begin display style QY end style end fraction equals fraction numerator 1 plus 2 over denominator 2 end fraction
fraction numerator begin display style PQ end style over denominator begin display style XQ end style end fraction equals fraction numerator begin display style QR end style over denominator begin display style QY end style end fraction equals 3 over 2..... left parenthesis 1 right parenthesis
in space increment PQR space & space increment XQY...... join space XY
fraction numerator begin display style PQ end style over denominator begin display style XQ end style end fraction equals fraction numerator begin display style QR end style over denominator begin display style QY end style end fraction
angle straight Q space is space 90 degree
so space SAS space they space are space similar
fraction numerator begin display style increment PQR end style over denominator begin display style increment XQY end style end fraction equals fraction numerator begin display style PR squared end style over denominator begin display style XY squared end style end fraction..... ratio space of space areas
fraction numerator begin display style PQ cross times QR end style over denominator begin display style XQ cross times QY end style end fraction equals fraction numerator begin display style PR squared end style over denominator begin display style XY squared end style end fraction
fraction numerator begin display style 9 end style over denominator begin display style 4 end style end fraction equals fraction numerator begin display style PR squared end style over denominator begin display style XY squared end style end fraction......... from space left parenthesis 1 right parenthesis
9 XY squared equals 4 PR squared
9 left parenthesis XQ squared plus QY squared right parenthesis equals 4 PR squared.... pythagoras space XY squared equals XQ squared plus QY squared
9 open parentheses open parentheses XR squared minus RQ squared close parentheses plus open parentheses PY squared minus PQ squared close parentheses close parentheses equals 4 PR squared.... pythagoras space XR squared minus RQ squared equals XQ squared space comma space PY squared minus PQ squared equals QY squared
9 open parentheses XR squared plus PY squared minus open parentheses PQ squared plus RQ squared close parentheses close parentheses equals 4 PR squared
9 open parentheses XR squared plus PY squared minus PR squared close parentheses equals 4 PR squared...... pythagoras space PQ squared plus RQ squared equals PR squared
rearrange

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Answered by Arun | 26th Nov, 2017, 05:44: PM