Answer:
10.3
Step-by-step explanation:
hope this helps, if any genius answers as well, give brainliest to them
Answer:
[tex]\Huge\boxed{A=24.25}[/tex]
Step-by-step explanation:
Herons Formula:
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
where s = semi perimeter ( perimeter of triangle divided by 2)
and a,b and c = triangle side lengths
Before we can solve we need to calculate the semi perimeter
7 + 13 + 8 = 28
then we divide by 2
28/2=14
so the semi perimeter is 14
now we plug in everything into the formula
[tex]A=\sqrt{14(14-13)(14-8)(14-7)} \\14 - 13=1\\14-7=7\\14-8=6\\A=\sqrt{14(1)(6)(7)} \\14*1=14\\14*7=98\\98*6=588\\A=\sqrt{588} \\\sqrt{588} =24.24871131[/tex]
so we can conclude that the area of the triangle is 24.24871131
our final step is to round to the nearest hundredth
A = 24.25
