Answer:
see explanation
Step-by-step explanation:
The perimeter is the sum of the 3 sides, that is
perimeter = 8 + 12 + 17 = 37 cm
To use Heron's formula for area (A)
A = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
where a, b and c are the lengths of sides and s the semi perimeter
s = 37 ÷ 2 = 18.5
let a = 8, b = 12 and c = 17, then
A = [tex]\sqrt{18.5(18.5-8)(18.5-12)(18.5-17)}[/tex]
= [tex]\sqrt{18.5(10.5)(6.5)(1.5)}[/tex]
= [tex]\sqrt{1893.9375}[/tex] ≈ 43.52 cm² ( to 2 dec. places )
Hi!
Heron's formula:
[tex]s = \dfrac{a+b+c}{2}[/tex]
Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Perimeter = 8 + 12 + 17 = 37 cm
[tex]s = \dfrac{37}{2} = 18.5[/tex]
Area = [tex]\sqrt{18.5(18.5-8)(18.5-12)(18.5-17)} = \sqrt{18.5 * 10.5 * 6.5 * 1.5} = \sqrt{1893,9375}[/tex]
[tex]\sqrt{1893.9375} ≈ 43.52
Area ≈ 43.52 cm²
Wish Good Lessons! ^-^
