Question

If sides of
Square
is 10 cm, then what
is the length of its diagonals​

Answer 1

Step-by-step explanation:

Explanation:

Start from a square

A

B

C

D

. Now consider the triangle

A

B

C

. It's a right triangle, whose catheti are the sides of the square, and whose hypotenuse is the diagonal of the square.

Now, Pythagoras' theorem tells us that

¯¯¯¯¯¯

A

B

2

+

¯¯¯¯¯¯

B

C

2

=

¯¯¯¯¯¯

A

C

2

But

A

B

and

B

C

are both sides of the square, and then they both equal a certain quantity

l

, while

A

C

is the diagonal and equals

10

cm. The previous identity becomes

2

d

2

=

100

⇒

d

2

=

50

⇒

d

=

√

50

If you like it, you can simplify

√

50

into

√

25

⋅

2

=

√

25

⋅

√

2

=

5

√

2

.

Answer 2

Step-by-step explanation:

Hope it will help you. Please mark it as brainliest.