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Answer:
The length of the side PC is 34 cm.
Step-by-step explanation:
We are given that BP is the perpendicular bisector of AC. QC is the perpendicular bisector of BD. AB = BC = CD.
Suppose BP = 16 cm and AD = 90 cm.
As, it is given that AD = 90 cm and the three sides AB = BC = CD.
From the figure it is clear that AD = AB + BC + CD
So, AB = = 30 cm
BC = = 30 cm
CD = = 30 cm
Since the triangle, BPC is a right-angled triangle as PBC = 90°, so we can use Pythagoras theorem in this triangle to find the length of the side PC.
Now, the Pythagoras theorem states that;
= 1156
PC = 34 cm
Hence, the length of the side PC is 34 cm.