Question

what is the length of the hypotenuse? 18 cm 6 cm (not drawn to scale) a 360 cm b 6√10 cm c 144 cm d 2√6 cm

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(c^{2}=a^{2}+b^{2}\). Here \(a = 6\mathrm{cm}\) and \(b = 18\mathrm{cm}\).

Step2: Substitute values into formula

\(c^{2}=6^{2}+18^{2}=36 + 324=360\).

Step3: Solve for \(c\)

\(c=\sqrt{360}=\sqrt{36\times10}=6\sqrt{10}\mathrm{cm}\).

Answer:

B. \(6\sqrt{10}\mathrm{cm}\)