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
