Question

Using Heron's Formula, find the Area. Sides are 7 13 8

Answer 1

Answer:

$\Huge\boxed{A=24.25}$

Step-by-step explanation:

Herons Formula:

$A=\sqrt{s(s-a)(s-b)(s-c)}$

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

$A=\sqrt{14(14-13)(14-8)(14-7)} \\14 - 13=1\\14-7=7\\14-8=6\\A=\sqrt{14(1)(6)(7)} \\14*1=14\\14*7=98\\98*6=588\\A=\sqrt{588} \\\sqrt{588} =24.24871131$

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

Answer 2

Answer:

10.3

Step-by-step explanation:

hope this helps, if any genius answers as well, give brainliest to them