Question

consider the sides of a roof as the legs of the roof. find the pitch of the roof. the pitch of the roof is

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem states that for a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(c=\sqrt{a^{2}+b^{2}}\). Here, \(a = 14\) and \(b = 48\).

$$c=\sqrt{14^{2}+48^{2}}$$

Step2: Calculate squares

Calculate \(14^{2}=196\) and \(48^{2}=2304\). Then \(a^{2}+b^{2}=196 + 2304\).

$$196+2304=2500$$

Step3: Find the square root

\(c=\sqrt{2500}\)
Since \(50\times50 = 2500\), \(\sqrt{2500}=50\)

Answer:

\(50\)