Question

find the area of a square if the measure of its diagonal is 12 centimetre​

Answer 1

Answer:

72 cm²

Step-by-step explanation:

Let each side of a square ABCD is x cm.,whose

diagonals AC = BD = 12 cm.

Area of square = x^2 sq.cm.

In right angled triangle ABC

AB^2+BC^2 = AC^2

x^2+x^2= 12^2

2x^2=144

x^2 = 72

Area of square = x^2 = 72 sq.cm

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Answer 2

Answer:

72 cm^2

Step-by-step explanation:

Diagonal of square = 12 cm.

⇒ √2s = 12

=> s = 12/√2

Area of square = s²

=> 144/4

=> 72 cm^2

Hence, Area of square = 72 cm²

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