In ∆PQR, angle Q = 90°, PQ = 12, QR = 5 and QS is a median. Find l(QS).
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Answered by
87
Step-by-step explanation:
your ans is Qs = 13 cm
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arya6287:
plz tell me the method
Answered by
127
Answer:
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Step-by-step explanation:
So, to the find the length of QS we have to find the length if PR because as QS is the median of the right triangle it is half the length of hypotenuse.
[Using pythagoras theorem]
⇒ (PQ)² + (QR)² = (PR)²
⇒ 12² + 5 ² = (PR)²
⇒ 144 + 25 = (PR)²
⇒ 169 = (PR)²
⇒ PR = √169
Which means PR = 13
And hence OS = 13 / 2 = 6.5
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