Question

Square ABCD have length 300. AB=BC=CD=AD then find its diagonal

Answer 1

Question :

Square ABCD have length 300. AB=BC=CD=AD then find its diagonal

Step-by-step explanation:

Side of square=300 unit

Since it is square, AB=BC=CD=AD.

Construct a diagonal say AC(you may take BD as both diagonal of square are equal).

Then using Pythagoras Theorem,

AB²+BC²=AC²

=>  300²+300²=AC²

=>  AC²=90000+90000

=>  AC²=180000

=>  AC²=2×9×10000

=>   AC=300×(√2)

d=(√2)×s

d is diagonal length

s is side of square

(this formula is applicable only for square)***

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