Question

find the parimeter of the square if its diagonal is 10√2

1) 40cm
2) 25cm
3) 40√2 cm​

Answer 1

Answer:

answer is 1) 40cm

hope it helps ☺️.....

Answer 2

Answer:

Perimeter of a square with diagonal 10√2 cm, is 40 cm.

Step-by-step explanation:

We are given,

Diagonal (d) = 10√2 cm ------ 1

Let s be the side of the square. ------ 2

We know that,

If we draw a diagonal in a square, we get two right triangles[Do refer above image].

Thus, By Pythagoras theorem,

s² + s² = d²

2s² = d²

d = √2s²

d = s√2

Thus,

Diagonal of a square will always be the side of a square multiplied by √2

Thus,

d = s√2

From eq.1 and eq.2 we get,

10√2 = s√2

Dividing both sides by √2 we get,

10 = s

s = 10 cm

Now,

Perimeter of a square = 4s (where s is the side of the square)

Thus,

P = 4 × 10

P = 40 cm

∴ Perimeter of a square with diagonal 10√2 cm, is 40 cm.

Hope it helped and you understood it........All the best