Question

solve for x. 18 m 36 m 45.6 54 38.9 40.2

Explanation:

Step1: Apply Pythagorean theorem

In right - triangle BCD (where the diagonal of the rectangle forms the hypotenuse), if the two legs of the right - triangle are \(a = 18\) and \(b = 36\), and the hypotenuse is \(x\), the Pythagorean theorem is \(x^{2}=a^{2}+b^{2}\). So \(x^{2}=18^{2}+36^{2}\).

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

\(18^{2}=18\times18 = 324\) and \(36^{2}=36\times36=1296\). Then \(x^{2}=324 + 1296\).

Step3: Sum the values

\(x^{2}=324+1296 = 1620\).

Step4: Find the square - root of \(x^{2}\)

\(x=\sqrt{1620}\approx40.2\).

Answer:

40.2