Write the Minimum requirements to find the area of of triangle using heron's formula
Answers
Answer:
you must know the semi-perimeter.
Step-by-step explanation:
Step-by-step explanation:
Just use this two step process:
Step 1: Calculate "s" (half of the triangles perimeter):
s = a+b+c2
Step 2: Then calculate the Area:
herons formula A = sqrt( s(s-a)(s-b)(s-c) )
Example: What is the area of a triangle where every side is 5 long?
Step 1: s = 5+5+52 = 7.5
Step 2: A = √(7.5 × 2.5 × 2.5 × 2.5) = √(117.1875) = 10.825...
Try it yourself:
Heron's FormulaFind a Triangle's Area from its SidesClassic Heron's Formula:
s = (a+b+c)/2 = 6
Area = √( s(s-a)(s-b)(s-c) )
Area = 6Variation with less rounding error:
Sides in Descending Order: 5,4,3
Area = √((a+(b+c))(c-(a-b))(c+(a-b))(a+(b-c)))/4
Area = 6
a:
3
53.1301°
b:
4
36.8699°
c:
5
90°
Area is6.000000© 2018 MathsIsFun.com v0.61