Question

question
one of the legs of a right triangle measures 3 cm and the other leg measures 18 cm. find the measure of the hypotenuse. if necessary, round to the nearest tenth

Explanation:

Step1: Apply Pythagorean theorem

Let \(a = 3\) cm and \(b=18\) cm. The Pythagorean theorem for a right - triangle is \(c^{2}=a^{2}+b^{2}\), where \(c\) is the hypotenuse. So \(c^{2}=3^{2}+18^{2}\).

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

\(3^{2}=9\) and \(18^{2}=324\), then \(c^{2}=9 + 324=333\).

Step3: Find \(c\)

\(c=\sqrt{333}\approx18.2\) cm.

Answer:

\(18.2\) cm