Question

george cuts a rectangular piece of glass down one of the diagonals as shown below. what is the length of the diagonal that he cut to the nearest whole inch? enter only the number.
36 inches
18 inches
the solution is

Explanation:

Step1: Apply Pythagorean theorem

Let \(a = 18\), \(b=36\). The Pythagorean theorem is \(c=\sqrt{a^{2}+b^{2}}\), so \(c=\sqrt{18^{2}+36^{2}}\).

Step2: Calculate \(a^{2}\) and \(b^{2}\)

\(18^{2}=324\), \(36^{2} = 1296\). Then \(a^{2}+b^{2}=324 + 1296=1620\).

Step3: Find the square - root

\(c=\sqrt{1620}\approx40.25\).

Answer:

40