Question

find the length of the third side. if necessary, write in simplest radical form. 7, \sqrt{51} (with a right - angled triangle diagram)

Explanation:

Step1: Apply Pythagorean theorem

Sea $c$ el lado desconocido, entonces $c^2 = 7^2 + (\sqrt{51})^2$

Step2: Calculate each term

$7^2 = 49$, $(\sqrt{51})^2 = 51$

Step3: Sum the results

$c^2 = 49 + 51 = 100$

Step4: Take square root

$c = \sqrt{100} = 10$

Answer:

10