Question
In square EFGH, FG = 13 cm. Find the length of BP of square ABCD.
- 26 cm
- 19.5 cm
- 6.5 cm
- 13 cm
The correct answer is: 6.5 cm
Given in the square EFGH that FG = 13 cm we need to find the length of BP of square ABCD.
In square EFGH, the length of each side = 13 cm.
In square ABCD, the length of diagonal AC = length of side of square EFGH = 13 cm
We know that the diagonals of a square bisect each other.
In square ABCD, AP = PC = DP = PB = 
= 6.5 cm
So, the length of BP of square ABCD is 6.5 cm
Therefore we used the property of square to find out that length of BP of square ABCD is 6.5 cm
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