Given:
PQ is a median of ΔPRS.
PS = 4 cm
SQ = 3 cm
To find:
The side length PR.
Solution:
PQ is a median of ΔPRS.
⇒ SQ = QR
⇒ QR = 3 cm
SR = SQ + QR
= 3 + 3
SR = 6 cm
Using Pythagoras theorem:
In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.
[tex]PR^2=PS^2+SR^2[/tex]
[tex]PR^2=4^2+6^2[/tex]
[tex]PR^2=16+36[/tex]
[tex]PR^2=52[/tex]
Taking square root on both sides.
PR = 7.2 cm
Therefore PR is 7.2 cm.
