Question

find the perimeter of a square if its diagonal is 10

Answer 1

Answer:

28.28 is the right answer

Step-by-step explanation:

plz make me brainliest and follow me and like my answer

Answer 2

Answer:

THERE ARE 2 METHODS OF SOLVING THIS:

1st METHOD:

Given- Diagonal = 10cm.

Let's draw a square (I used ms paint for the figure)

Here, DB=10cm.

We know that sides of a square are equal. Thus, AD=AB=CD=DB.

Let the sides of the squared be x. We need to find the perimeter, that is, 4×x.

Now, in ΔDAB, DB²=DA²+AB²

DB=√(x²+x²)  [Becuase we assumed that AB=BC=CA=AD as x]

10=√2x

10=√2x

x=10÷√2

x=(10×√2)÷(√2×√2)

x=(10√2)÷2

x=5√2

THUS, perimeter=(4×5√2)cm

Perimeter=20√2cm

2nd METHOD:

We know this formula:

diagonal=√2×side

10=√2×side

side=10÷√2

side=(10×√2)÷(√2×√2)

side=(10√2)÷2

side=5√2cm.

HOPE THIS HELPS :D