You may recognize that ∆WYZ is a 3-4-5 right triangle. Without any work, then c = 5
_____ If you don't remember that a right triangle with legs 3 and 4 has a hypotenuse of 5, you can compute it using the Pythagorean theorem. c² = 3² + 4² c² = 9 + 16 = 25 c = √25 = 5
We can use the Pythagorean theorem to find c. This theorem says that a^2 + b^2 = c^2 where a and b are the opposite and adjacent, and c is the hypotenuse. In this case 3 and 4 serve as a and b.
3^2 + 4^2 = c^2 9 + 16 = c^2 25 = c^2 sqrt(25) = c5 = c So c is 5 units.
