Question

in triangle PQR , angle Q = 90° , PQ = 12cm , QR = 5cm and QS is the median . Find l(QS).

Answer 1

In Δ PQR,

P * R ^ 2 = P * Q ^ 2 + Q * R ^ 2

(By Pythagoras

theorem)

P * R ^ 2 = 12 ^ 2 + 5 ^ 2

P * R ^ 2 = 144 + 25

P * R ^ 2 = 13 ^ 2

→ PR = 13

In a right angled triangle, the length of the median on its hypotenuse is half the length of the hypotenuse.

:.l(QS) =1/2 = (PR)

=1/2 (13)

= 6.5 units.

Hence, the length of QR is 6.5 units.

Answer 2

Answer:

PR = 13cm

Step-by-step explanation:

${pr}^{2} = {pq}^{2} + {qr}^{2}$

${pr}^{2} = {12}^{2} + {5}^{2}$

${pr}^{2} = 144 + 25$

${pr}^{2} = 169$

$pr = \sqrt{169}$

$pr = 13cm$

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