Respuesta :

Answer:

See below ~

Step-by-step explanation:

Finding the lengths of the sides :

  • a = √(5 - 1)² + (-5 + 5)² = √(4)² = 4
  • b = √(1 - 1)² + (3 + 5)² = √(8)² = 8
  • c = √(5 - 1)² + (-5 - 3)² = √16 + 64 = √80 = 4√5

Evaluating if it is right Δ by verifying Pythagorean Theorem :

  • a² + b² = c²
  • (4)² + (8)² = (4√5)²
  • 16 + 64 = 80
  • 80 = 80
  • ⇒ ΔRST is a right triangle

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