Respuesta :
Answer:
A = [tex]8\sqrt{110}[/tex] [tex]inches^{2}[/tex]
Step-by-step explanation:
In this question, we are tasked with calculating the area of a triangle given the length of its three sides
Mathematically, we can calculate this using the Heron's formula
For Heron's formula, A = [tex]\sqrt{S(S-A)(S-B)(S-C)}[/tex]
WHERE S = [tex]\frac{A+B+C}{2}[/tex]
we take the lengths of the triangle as A,B and C respectively as given
S = (12 + 14 + 18)/2 = 22
Plugging the values into the equation, we have;
A = [tex]\sqrt{22(22-12)(22-14)(22-18)}\\ \\\sqrt{22(10)(8)(4)} \\\\\sqrt{7040}[/tex]
A = [tex]8\sqrt{110}[/tex] [tex]inches^{2}[/tex]
