Triangle is attached below
The triangle is 12 by 10 by 8
Perimeter:
To find perimeter we add all the sides of the triangle
Perimeter P = 12 + 10 + 8 = 30 units
Semi perimeter:
Semi perimeter is half of its perimeter
We know P = 30
Semi perimeter s= [tex] \frac{p}{2} [/tex] = [tex] \frac{30}{2} [/tex] = 15 units
Area:
If we know the sides of the triangle then we use Heron's formula to find the area of the triangle
[tex] A = \sqrt{s(s-a)(s-b)(s-c)} [/tex]
Where s= semi perimeter
a,b,c are the sides of the triangle
s= 15 units
a= 12 units
b= 10 units
c= 8 units
[tex] A = \sqrt{15(15-12)(15-10)(15-8)} [/tex]
[tex] A= \sqrt{15(3)(5)(7)} [/tex]
[tex] A= \sqrt{15 * 105} [/tex]
[tex] A= \sqrt{1575} [/tex]
A= 39.7 square units
