14. In APQR, PT is perpendicular to QR, PQ-10 cm, QT = 6 cm, TR - 15 cm. Find the value of sin x + tan y.
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Step-by-step explanation:
Given: PQ=10cm, PR=24cm
Let QR be x cm.
In right angled triangle QPR,
(Hypotenuse) 2
=(Base) 2
+(Perpendicular) 2
[By Pythagoras theorem]
⇒(QR) 2
=(PQ) 2
+(PR) 2
⇒x 2
=(10) 2
+(24) 2
⇒x 2
=100+576=676
⇒x= 676
=26cm
Thus, the length of QR is 26cm.
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