Question

square roots and the pythagorean theorer vectored instruction find the length of “c” using the pythagorean theorem.

Explanation:

Step1: Recall Pythagorean Theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(c^{2}=a^{2}+b^{2}\). Here \(a = 14\) and \(b = 48\).

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

Step2: Calculate squares of the values

$$14^{2}=196$$

and

$$48^{2}=2304$$

. Then \(c^{2}=196 + 2304\).

$$c^{2}=2500$$

Step3: Find the square - root of \(c^{2}\)

$$c=\sqrt{2500}$$

$$c = 50$$

Answer:

50