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CBSE Class 10 Answered

Please solve question 20
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Asked by Trisha Gupta | 03 Sep, 2021, 01:04: AM
answered-by-expert Expert Answer
 
In right triangle ACQ,
AQ2 = AC2 + CQ2  ... (By Pythagoras theorem) (i)
Similarly, in right triangle PCB,
PB2 = PC2 + CB2  ... (ii)
Adding (i) and (ii), we get
AQ2 + PB2 = AC2 + CQ2 + PC2 + CB2 
               equals A C squared plus open parentheses 2 over 3 A C close parentheses squared plus open parentheses 2 over 3 B C close parentheses squared plus B C squared equals 13 over 9 A C squared plus 13 over 9 B C squared
rightwards double arrow 9 open parentheses A Q squared plus B P squared close parentheses equals 13 open parentheses A C squared plus B C squared close parentheses rightwards double arrow 9 open parentheses A Q squared plus B P squared close parentheses equals 13 A B squared
Answered by Renu Varma | 09 Sep, 2021, 12:12: PM

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