Question

what is the area of square whose diagonal is 15 cm​

Answer 1

Answer:

112.5 sq.m

Step-by-step explanation:

Let each side of square ABCD is x m.

diagonal AC=BD= 15 m.

In right angled triangle ABC

AB^2+BC^2=AC^2

x^2+x^2=15^2

2x^2=225

x^2=225/2…………..(1)

Area of square =x×x=x^2 , put x^2=225/2 from eq (1)

Area of square =225/2 =112.5 sq.m , Answer.

Answer 2

Let each side of square ABCD is x m.

diagonal AC=BD= 15 m.

In right angled triangle ABC

AB^2+BC^2=AC^2

x^2+x^2=15^2

2x^2=225

x^2=225/2…………..(1)

Area of square =x×x=x^2 , put x^2=225/2 from eq (1)

Area of square =225/2 =112.5 sq.m , Answer.

Step-by-step explanation:

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