Question

given the triangle below, what is the length of the hypotenuse? 3 cm 5 cm a 15 cm b √34 cm c √15 cm d 8 cm

Explanation:

Step1: Apply Pythagorean theorem

Let \(a = 3\) cm and \(b=5\) cm. The Pythagorean theorem for a right - triangle is \(c^{2}=a^{2}+b^{2}\), where \(c\) is the hypotenuse.

Step2: Calculate \(c^{2}\)

\(c^{2}=3^{2}+5^{2}=9 + 25=34\)

Step3: Find \(c\)

\(c=\sqrt{34}\) cm

Answer:

B. \(\sqrt{34}\) cm