In given figure, ST || RQ, PS = 3 cm and SR = 4 cm. Find the ratio of the area of
PST to the area of
PRQ.
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since ST || RQ
therefore
PS/SR =PT/TQ (By thales theorem)
in triangle PST and PRQ
PS/SR=PT/TQ (proved above)
angle P= angle P (common)
therefore, by SAS Triangle PST ~ PRQ
ar (PST)/ar (PRQ)=(PS/SR)^2
=> (3/4)^2
=>9/16
therefore
PS/SR =PT/TQ (By thales theorem)
in triangle PST and PRQ
PS/SR=PT/TQ (proved above)
angle P= angle P (common)
therefore, by SAS Triangle PST ~ PRQ
ar (PST)/ar (PRQ)=(PS/SR)^2
=> (3/4)^2
=>9/16
shivanyaaggraw:
thnk u for marking my ans as brainliest..
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