Question

What is the length of the hypotenuse of a right triangle with legs that are 7 feet and 10 feet respectively?

Answer 1

7² + 10² = c² where c = hypotenuse

49 + 100 = c² 
149 = c²

c = √149 feet

Answer 2

Use the Pythagorean Theorem:
a² + b² = c² (note: c is the hypotenuse)
7² + 10² = c²
49 + 100 = c²
   149    = c²
$\sqrt{149} = \sqrt{c^{2} }$
$\sqrt{149} = c$
   12.2 ≈ c