Mahaviracharya/Ganita Sara Samgraha/Chapter VII
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Mahaviracharya: Ganita Sara Samgraha Chapter $\text {VII}$: Measurement of Areas
Problems $180 \frac 1 2$
Two pillars are of known height: $p$ and $q$.
Two strings are tied, one to the top of each.
Each of these strings is stretched so as to touch the foot of the other pillar.
From the point where the two strings meet, another string is suspended vertically till it touches the ground.
What is the length $r$ of this suspended string?