Question

how to find the daigonal of a square of side 3cm​

Answer 1

Answer:

3√2 cm

Step-by-step explanation:

The diagonal bisects the two 90º angles

you have a 45-45-90 right triangle (an isosceles right triangle)

the diagonal is always equal to x√2 where x=the length of a side; in this case x=3

the diagonal=3√2 cm

you can verify this using the Pythagorean Theorem

d2=32+32

d2=9+9

d2=18

d=√18

d=√(9*2)

d=√9*√2

d=3√ 2 cm

Hope it helps you!

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Answer 2

All sides of square are 3cm

Let diagonal length be x

So by pythagoras theorem,

3^2 +3^2 = x^2

9+9=x^2

18=x^2

x=root18

x = 3root2 cm