In ΔPQR, ∠Q =90⁰, PQ = 12, QR = 5 and QS is a median. Find t(QS).

ΔPQR is a right-angled triangle

So, PQ and QR are the sides and PR is the hypotenuse of ΔPQR.

∴ By Pythagoras theorem

PQ² + QR² = PR²

⇒ PR² = 12² + 5² = 144 + 25 = 169

⇒ PR = 13

Length of hypotenuse of right-angled triangle = 13

We know, the length of the median of the hypotenuse is half the length

of the hypotenuse.

i.e.

Length of median of its hypotenuse = 1/2 × length of hypotenuse

Length of median of its hypotenuse = 1/2 × 13

= 6.5

∴ Length of median of its hypotenuse is 6.5