Math, asked by sopu1245, 4 months ago

3.The length of the diagonal of a square is 50 cm, find the perimeter of the 1
square.
*
50 cm
x cm
Xem
O A.100 cm
O
B.10072 cm
O C. N102 cm
O D.100+12 cm​

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Answers

Answered by aviralkachhal007
3

Given :-

  • Diagonal of square = 50cm

To Find :-

  • Perimeter of square

Solution :-

BD = 50cm

AD = AB = x cm

In ∆ ABD

Using Pythagoras theorem,

(AD)² + (AB)² = (BD)²

(x)² + (x)² = (50)²

(2x)² = (50)²

\sqrt{(2x)²} = \sqrt{(50)²}

2x = 50

x = \dfrac{50}{2}

x = 25 cm

Now,

Perimeter of square = 4 × side

= 4 × 25

= 100 cm

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