Question

the length of the diagonal of a square is 10 root 2 cm find the length of the side​

Answer 1

AnsWer :

10 Cm.

To Find :

The length of Sides.

Solution :

Let,

• Length of Sides be x cm.

☛ By Pythagoras theorem.

$\tt \dagger \: \: \: \: \: {H }^{2} ={ P}^{2} + {B}^{2}$

Where as,

• Sides of Square be Equal.
• Diagonal 10√2 cm.

$\tt : \implies {\Big(10 \sqrt{2} \Big)}^{2} = {x}^{2} + {x}^{2}$

$\tt : \implies {\Big(10 \sqrt{2} \Big)}^{2} = 2 {x}^{2}$

$\tt : \implies 200= 2 {x}^{2}$

$\tt : \implies 100 = {x}^{2}$

$\tt : \implies x = \pm10 \: cm$

★ Ignore negative sign.

Therefore, the other sides of Square be 10 cm

Answer 2

Step-by-step explanation:

u can refer the image above