Use the Heron's formula to find the area of the triangle.Round your answer upto one decimal place.
A = 3.2,b = 10.9,c = 9

A)7.0
B)6.4
C)3.7
D)45.3
E)12.6

Question

Use the Heron's formula to find the area of the triangle.Round your answer upto one decimal place. ​
A = 3.2,b = 10.9,c = 9
​
A)7.0
B)6.4
C)3.7
D)45.3
E)12.6

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 $s$ is the semi-perimeter of the triangle, calculated as $\frac{a+b+c}{2}$. For this triangle, $a = 3.2$, $b = 10.9$, and $c = 9$, so the semi-perimeter $s = \frac{3.2 + 10.9 + 9}{2} = 11.55$. Plugging these values into Heron's formula gives the area as $\sqrt{11.55(11.55-3.2)(11.55-10.9)(11.55-9)} \approx 12.6$ square units.

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