We know that , According to Pythagorean Theorem :
In a Right Angled Triangle :
✿ (Hypotenuse)² = (First Leg)² + (Second Leg)²
In the Figure : AC is the Hypotenuse and AB and BC are Two Legs
Given : Length of AB = 4 and Length of BC = 6
⇒ (AC)² = (AB)² + (BC)²
⇒ (AC)² = 4² + 6²
⇒ (AC)² = 16 + 36
⇒ (AC)² = 52
[tex]\mathsf{\implies AC = \sqrt{52}}[/tex]
[tex]\mathsf{\implies AC = 2\sqrt{13}}[/tex]
3rd Option is the Answer
