Find the perimeter of square if it's diagonal is 10√2
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Answer:
P≈28.28
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Measurement of the diagonal= 10√2
As the measurement of the side is not known, we can use Pythagoras theorem to find the measure. {U can divide a square into 2 equal right-angled triangles}
Let the side be x.
a²+b²= c²
x²+x² =c
2x²= 200 {10²= 100 and √2² = 2. So 100*2 = 200}
x² =
x² = 100
x= √100
x=10 units
Perimeter= 4*s
P= 4*10
P= 40 units
Therefore the perimeter of this square is 40 units.
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