In figure 2.18, ZQPR = 90°,
seg PMI seg QR and Q-M-R,
PM = 10, QM = 8, find QR
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Answer:
Hence, QR = 20.5
Step-by-step explanation:
In a right angled triangle, the perpendicular segment to the hypotenuse from the opposite vertex, is the geometric mean of the segments into which the hypotenuse is divided.
Here, seg PM ⊥ seg QR
∴ PM²=QM×MR
⇒10²=8×MR
⇒100=8×MR
⇒MR=100/8
⇒MR=25/2
Now,QR=QM+MR
=8+25/2
=16+25/2
=41/2
=20.5
Hence, QR = 20.5
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