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Area of Triangle when semiperimeter is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
area_of_triangle = sqrt(Semiperimeter Of Triangle*(Semiperimeter Of Triangle-Side A)*(Semiperimeter Of Triangle-Side B)*(Semiperimeter Of Triangle-Side C))
A = sqrt(s*(s-a)*(s-b)*(s-c))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Semiperimeter Of Triangle - The Semiperimeter Of the Triangle is half of the measurement of the perimeter of the triangle. (Measured in Meter)
Side A - Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
Side B - Side B is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
Side C - Side C is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Semiperimeter Of Triangle: 6 Meter --> 6 Meter No Conversion Required
Side A: 8 Meter --> 8 Meter No Conversion Required
Side B: 7 Meter --> 7 Meter No Conversion Required
Side C: 4 Meter --> 4 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = sqrt(s*(s-a)*(s-b)*(s-c)) --> sqrt(6*(6-8)*(6-7)*(6-4))
Evaluating ... ...
A = 4.89897948556636
STEP 3: Convert Result to Output's Unit
4.89897948556636 Square Meter --> No Conversion Required
FINAL ANSWER
4.89897948556636 Square Meter <-- Area Of Triangle
(Calculation completed in 00.031 seconds)

11 Other formulas that you can solve using the same Inputs

Area of a Triangle when sides are given
area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4 Go
Radius of Inscribed Circle
radius_of_inscribed_circle = sqrt((Semiperimeter Of Triangle-Side A)*(Semiperimeter Of Triangle-Side B)*(Semiperimeter Of Triangle-Side C)/Semiperimeter Of Triangle) Go
Side a of a triangle
side_a = sqrt((Side B)^2+(Side C)^2-2*Side B*Side C*cos(Angle A)) Go
side b of a triangle
side_b = sqrt(Side A^2+Side C^2-2*Side A*Side C*cos(Angle B)) Go
Perimeter of a Right Angled Triangle
perimeter = Side A+Side B+sqrt(Side A^2+Side B^2) Go
Radius of circumscribed circle
radius_of_circumscribed_circle = (Side A*Side B*Side C)/(4*Area Of Triangle) Go
Perimeter of Triangle
perimeter_of_triangle = Side A+Side B+Side C Go
Perimeter of a Parallelogram
perimeter = 2*Side A+2*Side B Go
Perimeter of a Kite
perimeter = 2*(Side A+Side B) Go
Perimeter of an Isosceles Triangle
perimeter = Side A+2*Side B Go
Area of a Square when side is given
area = (Side A)^2 Go

11 Other formulas that calculate the same Output

Area of triangle given 3 points
area_of_triangle = modulus(1/2*((y1*(x3-x2))+(y2*(x1-x3))+(y3*(x2-x1)))) Go
Area of Triangle given 2 angles and third side
area_of_triangle = (Side A^2*sin(Angle B)*sin(Angle C))/(2*sin((180*pi/180)-Angle B-Angle C)) Go
Area of triangle given 3 exradii and inradius
area_of_triangle = sqrt(Exradius of excircle opposite ∠A*Exradius of excircle opposite ∠B*Exradius of excircle opposite ∠C*Inradius of Triangle) Go
Area of triangle given circumradius and sides
area_of_triangle = (Side A*Side B*Side C)/(4*Circumradius of Triangle) Go
Area of an isosceles triangle
area_of_triangle = (sqrt((Side A)^2-((Side B)^2/4)))*(Side B/2) Go
Area of triangle given semiperimeter, one side and its exradius
area_of_triangle = Exradius of excircle opposite ∠A*(Semiperimeter Of Triangle-Side A) Go
Area of an isosceles triangle when length sides and angle between them are given
area_of_triangle = (Side A*Side B*sin(Theta))/2 Go
Area of triangle given 2 sides and third angle
area_of_triangle = Side A*Side B*sin(Angle C)/2 Go
Area of triangle given inradius and semiperimeter
area_of_triangle = Inradius of Triangle*Semiperimeter Of Triangle Go
Area of an equilateral triangle
area_of_triangle = (sqrt(3)*(Side)^2)/4 Go
Area of an isosceles right angle triangle
area_of_triangle = (Side A)^2/2 Go

Area of Triangle when semiperimeter is given Formula

area_of_triangle = sqrt(Semiperimeter Of Triangle*(Semiperimeter Of Triangle-Side A)*(Semiperimeter Of Triangle-Side B)*(Semiperimeter Of Triangle-Side C))
A = sqrt(s*(s-a)*(s-b)*(s-c))

How to Calculate Area of Triangle when semiperimeter is given?

Area of Triangle when semiperimeter is given calculator uses area_of_triangle = sqrt(Semiperimeter Of Triangle*(Semiperimeter Of Triangle-Side A)*(Semiperimeter Of Triangle-Side B)*(Semiperimeter Of Triangle-Side C)) to calculate the Area Of Triangle, The area of a triangle when semiperimeter is given is defined as the total region that is enclosed by the three sides of any particular triangle when semiperimeter is provided. Area Of Triangle and is denoted by A symbol.

How to calculate Area of Triangle when semiperimeter is given using this online calculator? To use this online calculator for Area of Triangle when semiperimeter is given, enter Semiperimeter Of Triangle (s), Side A (a), Side B (b) and Side C (c) and hit the calculate button. Here is how the Area of Triangle when semiperimeter is given calculation can be explained with given input values -> 4.898979 = sqrt(6*(6-8)*(6-7)*(6-4)).

FAQ

What is Area of Triangle when semiperimeter is given?
The area of a triangle when semiperimeter is given is defined as the total region that is enclosed by the three sides of any particular triangle when semiperimeter is provided and is represented as A = sqrt(s*(s-a)*(s-b)*(s-c)) or area_of_triangle = sqrt(Semiperimeter Of Triangle*(Semiperimeter Of Triangle-Side A)*(Semiperimeter Of Triangle-Side B)*(Semiperimeter Of Triangle-Side C)). The Semiperimeter Of the Triangle is half of the measurement of the perimeter of the triangle, Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back, Side B is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back and Side C is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.
How to calculate Area of Triangle when semiperimeter is given?
The area of a triangle when semiperimeter is given is defined as the total region that is enclosed by the three sides of any particular triangle when semiperimeter is provided is calculated using area_of_triangle = sqrt(Semiperimeter Of Triangle*(Semiperimeter Of Triangle-Side A)*(Semiperimeter Of Triangle-Side B)*(Semiperimeter Of Triangle-Side C)). To calculate Area of Triangle when semiperimeter is given, you need Semiperimeter Of Triangle (s), Side A (a), Side B (b) and Side C (c). With our tool, you need to enter the respective value for Semiperimeter Of Triangle, Side A, Side B and Side C and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Area Of Triangle?
In this formula, Area Of Triangle uses Semiperimeter Of Triangle, Side A, Side B and Side C. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • area_of_triangle = (sqrt((Side A)^2-((Side B)^2/4)))*(Side B/2)
  • area_of_triangle = (Side A*Side B*sin(Theta))/2
  • area_of_triangle = (Side A)^2/2
  • area_of_triangle = (sqrt(3)*(Side)^2)/4
  • area_of_triangle = modulus(1/2*((y1*(x3-x2))+(y2*(x1-x3))+(y3*(x2-x1))))
  • area_of_triangle = (Side A^2*sin(Angle B)*sin(Angle C))/(2*sin((180*pi/180)-Angle B-Angle C))
  • area_of_triangle = Side A*Side B*sin(Angle C)/2
  • area_of_triangle = (Side A*Side B*Side C)/(4*Circumradius of Triangle)
  • area_of_triangle = Inradius of Triangle*Semiperimeter Of Triangle
  • area_of_triangle = sqrt(Exradius of excircle opposite ∠A*Exradius of excircle opposite ∠B*Exradius of excircle opposite ∠C*Inradius of Triangle)
  • area_of_triangle = Exradius of excircle opposite ∠A*(Semiperimeter Of Triangle-Side A)
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