Question

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Answer 1

Answer:

hii

Step-by-step explanation:

10√2 cm is the answer

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Answer 2

Step-by-step explanation:

Given :-

Side of a square = 10 cm

To find :-

Find the length of the diagonal of a square ?

Solution :-

Method -1:-

Given that

The side of a square = 10 cm

Let a = 10 cm

We know that

The diagonal of a square is √2 a units

The diagonal of the given square

=> √2×10 cm

=> 10√2 cm

Method -2:-

We know that

The Diagonal divides the square into two equal right angled triangles.

So

We know that

In right angled triangle

By Pythagoras theorem

Hypotenuse ² = Side²+Side²

Where Side = 10 cm

Hypotenuse = Diagonal

=> Diagonal² = 10²+10²

=> Diagonal² = 100+100

=> Diagonal² = 200

=> Diagonal = √200

=> Diagonal = √(2×100)

=> Diagonal = 10√2 cm

Answer:-

The length of the diagonal of the given square is 10√2 cm

Used formulae:-

• The diagonal of a square is √2 a units

Pythagoras Theorem:-

In a right angled triangle, The square of the hypotenuse is equal to the sum of the squares of the other two sides .

• The diagonal divides the square into two congruent right angled triangles.