Question

06 Find the length of the side of a square if the length of its diagonal is 10 cm (up to 2 decimal
places).​

Answer 1

Answer:

The answe is :

Step-by-step explanation:

Length of diagonal is 10 cm Let the length of side of a square is y cm. By Pythagoras theorem,(10) 2 =y 2 +y 2 100=2y 2 y 2 = 2100 =50y= 50 =5 2 So, the length of the side of square is 50 2 or 5.2

Answer 2

Step-by-step explanation:

The side of the square is  

5 √ 2

Explanation:

consider the triangle  A B C .

Now, Pythagoras' theorem tells us that

AB^2=AC^2 + CB^2

But  A B  and   B C  are both sides of the square, and then they both equal a certain quantity  , while  A C  is the diagonal and equals   10  cm. The previous identity becomes ;-

2D^2 = 100

D^2 =50

D =√50 =5√2