Question

a diagonal of square is 20 cm long. how long is each side?​

Answer 1

Answer:

Diagonal of square = 20 cm. = 200 cm². Side = 10√2 cm.

Step-by-step explanation:

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Answer 2

$\huge\purple{\mathtt{\underline\pink{A᭄ɴsᴡᴇʀ}}}$

$\implies$All the sides of square are equal.

$\implies$So, by applying Pythagoras

$\implies$ BD² = BC² + CD²

$\implies$(20)² = x² + x²

$\implies$400 = 2x²

$\large\green{\mathtt{→200 \: = \: x²}}$

.·. side of the square is $10 \sqrt{2}$