Use the Heron's formula to find the area of the triangle.Round your answer upto two decimal places.
A = 1, b = $\frac { 1 } { 3 }$ , c = $\frac { 3 } { 4 }$
A)0.65
B)0.09
C)2.29
D)0.66
E)0.50

Question

Use the Heron's formula to find the area of the triangle.Round your answer upto two decimal places.  
A = 1, b = $\frac { 1 } { 3 }$ , c = $\frac { 3 } { 4 }$  
A)0.65
B)0.09
C)2.29
D)0.66
E)0.50

Quizplus · Accepted Answer

The semi-perimeter (s) of the triangle is calculated as $s = \frac{a + b + c}{2} = \frac{1 + \frac{1}{3} + \frac{3}{4}}{2} = \frac{\frac{12}{12} + \frac{4}{12} + \frac{9}{12}}{2} = \frac{25}{24}$. Using Heron's formula, the area (A) is $\sqrt{s(s-a)(s-b)(s-c)} = \sqrt{\frac{25}{24}(\frac{25}{24}-1)(\frac{25}{24}-\frac{1}{3})(\frac{25}{24}-\frac{3}{4})}$. Simplifying this gives an area of approximately 0.09 square units.

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