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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