find
the side of a square whose
diagonal
is
16 √2 cm.
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Use Pythagorean theorem to find the value of a.
a² + b² = c²
The diagonal is the hypotenuse c.
Since a and b are equal, we consider them as a.
a² + a² = c²
2 a² = c²
2 a² = ( 16√2 )²
2 a² = 16² ∙ ( √2 )²
2 a² = 16² ∙ 2
Divide both sides by 2
a² = 16²
a = √16²
a = 16 cm
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