Math, asked by anilrshinde79, 3 months ago

*If diagonal of a square is of length 10√2 cm then the perimeter of square is ...............cm.*

1️⃣ 40
2️⃣ 10
3️⃣ 30
4️⃣ 50​

Answers

Answered by Anonymous
2

R.E.F image

x be the side of square

By using Pythagoras theorem

x

2

+x

2

=(10

2

)

2

2x

2

=200

x

2

=100

x=10cm

Perimeter of square =4×x=4×10=40cm

40cm

is a correct Answer

Answered by nandanib3
6

Answer

a) 40

Step-by-step explanation:

We know that, All the sides are equal in a Square and each angle is equal to 90°.

Let the sides of an Square be "x" cm.

∴ By Pythagoras Theorem,

=) ( 10√2)² = x² + x²

=) 100×2 = 2x²

=) x² = 100

=) x = √100

=) x = 10

Hence,

Sides of an Square = 10cm.

Now,

Perimeter of Square = 4 × Side

=) Perimeter = 4 × 10

=) Perimeter = 40cm

hope it will help you

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