How do you use Heron's formula to determine the area of a triangle with sides of that are 15, 18, and 19 units in length?
2 Answers
Area
Explanation:
Let the sides be
Solve for the half perimeter
The Heron's Formula for the area of the triangle
Area
Area
Area
God bless....I hope the explanation is useful.
≈ 126.55 square units
Explanation:
This is a 2 step process.
step 1 : Calculate half the perimeter (s) of the triangle.
let a = 15 , b = 18 and c = 19
s = (a+b+c)/2 = (15+18+19)/2 = 52/2 = 26 s=a+b+c2=15+18+192=522=26 step 2 : Calculate the area using
area
= sqrt(s(s-a)(s-b)(s-c))=√s(s−a)(s−b)(s−c)
= sqrt(26(26-15)(26-18)(26-19))=√26(26−15)(26−18)(26−19)
= sqrt(26xx11xx8xx7) ≈ 126.55" square units " =√26×11×8×7≈126.55 square units