Use the Heron's formula to find the area of the triangle.Round your answer upto two decimal places. ?
A = $\frac { 1 } { 2 }$ ,b = $\frac { 2 } { 3 }$ ,c = $\frac { 1 } { 3 }$ ?

Question

Quizplus · Accepted Answer

Heron's formula for the area of a triangle with sides of lengths $a$, $b$, and $c$ is given by $\sqrt{s(s-a)(s-b)(s-c)}$, where $s = \frac{a + b + c}{2}$ is the semi-perimeter of the triangle. For $a = \frac{1}{2}$, $b = \frac{2}{3}$, and $c = \frac{1}{3}$, we first find the semi-perimeter: $s = \frac{\frac{1}{2} + \frac{2}{3} + \frac{1}{3}}{2} = \frac{3}{4}$. Then, the area is $\sqrt{\frac{3}{4}(\frac{3}{4} - \frac{1}{2})(\frac{3}{4} - \frac{2}{3})(\frac{3}{4} - \frac{1}{3})} \approx 0.08$.

Use the Heron's Formula to Find the Area of the Triangle.Round