The diagonals of a square measure 18 cm. what is its length??
1 answer:
Answer:
cm.
Step-by-step explanation:
A diagonal of a square + two of its sides creates a <em>45-45-90 triangle</em>. The relation between the lengths of said triangle is <em>1:1:√2</em>. In this case the diagonal is the √2 of the ratio.
That means that the side length should be <em>18/√2</em>, as this times √2 makes 18.
18/√2 simplifies to (18√2)/2 = (9√2)/2.
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