Answer:
QR + QS
= [tex]\frac{1}{2} PR + \frac{1}{2} PR[/tex]
[tex]= PR (\frac{1}{2} + \frac{1}{2} ) = PR[/tex] (hence proved)
Step-by-step explanation:
As shown in figure below:
Given: Q is the midpoint of PR. and QR = QS
Sol: Since Q is the midpoint of PR. ∴ [tex]QR = \frac{1}{2} PR[/tex]
Now QR = QS (Given)
∴ [tex]QS = \frac{1}{2} PR[/tex]
Now, QR + QS
= [tex]\frac{1}{2} PR + \frac{1}{2} PR[/tex]
[tex]= PR (\frac{1}{2} + \frac{1}{2} ) = PR[/tex]
So, OR + QS = PR (hence proved)
