Question

Find the area of a triangle, two sides of which are 8 cm and 12 cm and the perimeter is 38 cm in ${cm}^2$.​

• A. 16√3
• B. 16√16
• C. √1463
• D. 12√16

Answer 1

The correct option is C

√1463

Semi-Perimeter (s) = $\frac{a+b+c}{2}$

Perimeter = 38 cm;

Let the third side be c

c = 18 cm.

Using the Heron's formula, Area = $\sqrt{s(s-a)(s-b)(s-c)}$.

Hence using the given information, area = $\sqrt{1463}$ cm²