*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
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
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
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