Question

find the area of a square field whose one diagonal is 24 metre

Answer 1

d2÷2
24x24=576

576÷2=288

Answer 2

Step-by-step explanation:

Suppose the diagonal is AC

In ΔABC,

(AB)²+(BC)² = (AC)² (Pythagoras theorem)

Let AB = BC = a (Sides of square are equal)

(a)²+(a)² = (24)²

a²+a² = 576

2a² = 576

a² = 288 m²

As we know that the area of square is a².

Hence, our answer is 288 m².

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