Correct Answer - Option 1 : 12√17

**Given:**

Sides of triangle;

S_{1} = 9 cm

S_{2} = 11 cm

S_{3} = 14 cm

**Formula used:**

Using Heron's formula;

Area of a scalene triangle = √[s(s - a)(s - b)(s - c)]

Where 's' is the semi perimeter of the triangle.

**Calculation:**

Semi-perimeter of the triangle = (S1 + S2 + S_{3})/2

⇒ (9 + 11 + 14)/2

⇒ 17 cm

Area of triangle = √[17(17 - 9)(17 - 11)(17 - 14)] cm^{2}

⇒ √[17 × (8) × (6) × (3)] cm^{2}

⇒ 12√17 cm^{2}

**∴ The area of triangle is 12√17 cm2**