find the side and perimeter of a square whose diagonal is 10 cm
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Given:
AB=BC=CD=DA
Explanation:
According to the Pythagoras theorem , in triangle ABD
AB^2 + AD^2 = BD^2
a^2 + a^2 = 10^2
2a^2=100
a^2=50
a=root 50
a=5 root 2 cm
Hence, the side of square is 5 root 2 cm
Now,
perimeter of square = 4 × ( side )
= 4 × a
= 4 × 5 root 2 cm
=20 root 2 cm
Hence, the perimeters of square 20 root 2 cm.
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