Respuesta :

Answer:

See below ↓

Step-by-step explanation:

Given side lengths :

  • 6
  • 8

This question can be solved in two ways :

  1. Taking the third side to be the hypotenuse (What you're probably looking for)
  2. Taking 8 to be the hypotenuse (Probably not needed, but good for understanding the various possiblities)

Case 1

  • By Pythagorean Theorem, as right angle is mentioned :
  • 6² + 8² = x²
  • x² = 100
  • x = 10  [Your answer!]

Case 2

  • 6² + x² = 8²
  • x² = 64 - 36
  • x² = 28
  • x = 2√7 [Just in case!]

Hope it helps~