Question

in Triangle PQR, angle Q=90°,PQ=12,QR=5 and QS is a median . Find the length of(QS)​

Answer 1

Answer:

The length of QS = 6.5 units

Step-by-step explanation:

Given that , in triangle PQR

PQ = 12, QR = 5 and ∠Q = 90°

Acc. To Pythagoras Theorem,

PR^2 = QR^2 + PQ^2

PR^2 = 25 + 144

∴ PR^2 = 169

∴ PR = 13 units

In right angled triangle PQR, seg QS is the median on hypotenuse PR.

∴ QS = (1/2) PR

[In a right angled triangle, the length of the median on the hypotenuse is half the length of the hypotenuse]

QS = (1/2) x 13

∴ QS = 6.5 units