Respuesta :
The area of the triangle ABC is 81. 33 square units.
We have to determine
What is the area of triangle ABC?
What is the formula for the area of a triangle?
The area of the triangle is determined by;
[tex]\rm Area \ of \ triangle = s\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where the value of s is = a + b + c= 12 + 14 + 16 = 42
Substitute all the values in the formula;
[tex]\rm Area \ of \ triangle = \sqrt{s(s-a)(s-b)(s-c)}\\\\\rm Area \ of \ triangle = \sqrt{21(21-12)(21-14)(21-16)}\\\\\rm Area \ of \ triangle = \sqrt{(21 \times 9 \times 7 \times 5)}\\\\Area \ of \ triangle =\sqrt{6,615}\\\\Area \ of \ triangle = 81.33[/tex]
Hence, the area of the triangle ABC is 81. 33 square units.
To know more about the Area of the triangle click the link given below.
https://brainly.com/question/9299277
