If The Diagonal Of A Square Is 18 Cm How Long Is A Side?

If the diagonal of a square is 18 cm how long is a side?

Answer:

9√2 cm

Step-by-step explanation:

STEP 1 : Define x

Let the side be x

STEP 2: Form the equation

The two sides and a diagonal form a right angle triangle

Using Pythagoras Theorem, a² + b² = c²

x² + x² = 18²

STEP 3: Solve x

x² + x² = 18²

2x² = 324

x² = 162

x = √162

x = 9√2

STEP 4: Find the length of the side

Length of the side = x

Length of the side = 9√2 cm

Answer: 9√2 cm


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