A) 15 sq cm
B) 20 sq cm
C) 25 sq cm
D) 30 sq cm
Correct Answer: A
Solution :
Referring figure, \[DE=\frac{1}{2}BC\] and \[AP=\frac{1}{2}AQ\] Given, Area of \[\Delta \,ABC=60\,c{{m}^{2}}\] or \[\frac{1}{2}\times BC\times AQ=60\] or \[BC\times AQ=120\] \[\therefore \] Area of \[\Delta \,ADE=\frac{1}{2}\,DE\times AP\] \[=\frac{1}{2}\times \frac{1}{2}BC\times \frac{1}{2}AQ=\frac{1}{8}BC\times AQ\] \[=\frac{1}{8}=120=15\,sq.\,cm.\]You need to login to perform this action.
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