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CBSE Class 10 Answered

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Asked by dipanshupanwar144 | 03 Dec, 2023, 07:23: PM
answered-by-expert Expert Answer
Qn.12
 
 
angleQRS is common to ΔRQS and ΔRPT .
angleRQS = angleRPT ( Given )
Since angleRQS and angleRPT are corrsponding angles and they are equal , hence QS || PT
Hence anglePTR = angleQSR  ( because they are corresponding angles )
 
Since three  angles of ΔRQS are equal to respective angles of ΔRPT ,  ΔRQS and ΔRPT are similar by AAA similarity criterion.
 
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Qn. 13
 
3π is irrational number because π is irrational
 
5√5 is irrational because √5 is irrational
 
0.345710651372849.... is irrational because this nonterminating decimal number
 
0.3466666.... is rational number because this recurring decimal number
 
0.3466666...   = 0.34 + 0.0066666.....
 
0.3466666...   = (34/100) + (6/100) (0.11111.....)
 
0.3466666...   = (34/100) + (6/100)(1/9) = 312/900 = 78/225
 
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Qn.14
 
if we consider ΔPQR and ΔZYX, angleQPR = angleYZX = 60o
Respective sides of these angles are in same ratio as given below
 
XZ/PR  = YZ/QR = 1.5
 
Hence ΔPQR and ΔZYX are similar by SAS criterion
 
ΔLMN does not show any similarity with other triangles .
Answered by Thiyagarajan K | 03 Dec, 2023, 09:40: PM
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