Use the Heron's formula to find the area of the triangle. Round your answer upto two decimal places. $$a = 1 , b = \frac { 1 } { 2 } , c = \frac { 2 } { 3 }$$
A) $0.71$
B) $0.74$
C) $0.58$
D) $2.5$
E) $0.15$

Question

Use the Heron's formula to find the area of the triangle. Round your answer upto two decimal places. $$a = 1 , b = \frac { 1 } { 2 } , c = \frac { 2 } { 3 }$$ 
A) $0.71$
B) $0.74$
C) $0.58$
D) $2.5$
E) $0.15$

Quizplus · Accepted Answer

Heron's formula is $ \sqrt{s(s-a)(s-b)(s-c)} $, where $ s = \frac{a+b+c}{2} $. Here, $ s = \frac{1 + \frac{1}{2} + \frac{2}{3}}{2} = \frac{17}{12} $. The area is $ \sqrt{\frac{17}{12}(\frac{17}{12}-1)(\frac{17}{12}-\frac{1}{2})(\frac{17}{12}-\frac{2}{3})} \approx 0.15 $.

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