PQR is a right angled triangle at Q.If PQ=9cm ,PR =15 cm ,the length of QR= ___________ cm
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Answer:
The length of QR = 12cm.
[In which place theeta is your choice (P or R)].
Step-by-step explanation:
Given,
In right angled ∆PQR which is right angle at 'Q'.
Also given,
PQ = 9cm, PR = 15cm, QR = ?
According to Phythagarous therom,
Hypotenuse = opposite side + adjacent side
PR^2 = PQ^2 + QR^2
(15cm)^2 = (9cm)^2 + QR^2
225cm = 81cm + QR^2
225cm - 81cm = QR^2
144cm = QR^2
√144cm = QR
√12cm × 12cm = QR
12cm = QR
:.QR = 12cm
Therefore, the length of QR = 12cm
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