| The given figure shows \[\Delta ABC\] and \[\Delta PQR\] with \[AB=QR\]. |
 |
A) 60
B) 55
C) 70
D) 25
Correct Answer: C
Solution :
(c): Tips: Sometimes the student needs to get into the thinking of the question setter. The question setter has framed this problem in order to trick the student. The two Ales do not look congruent. Not even do they look similar. But from the given data, they are seen to have their corresponding \[\angle les\] as equal. Thus, they are similar. Now, also \[AB=QR\Rightarrow \]the \[\Delta \,\,les\] are congruent because if two Ales are similar & if even one of corresponding sides are equal, they become congruent \[(\Delta \,ABC\cong \Delta QRP)\] in that order. \[AB=QR\Rightarrow AB-QR=O\] Similarly \[3\,(AC-PQ)=0\] Thus, only terms left are \[5BC+2RP\] and \[BC=10\]units \[=5\times 10+2\times 10\] (SInec \[BC=RP\]) \[=70\]
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