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Area of a Triangle when sides are given Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
A = sqrt((a+b+c)*(b+c-a)*(a-b+c)*(a+b-c))/4
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
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
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((a+b+c)*(b+c-a)*(a-b+c)*(a+b-c))/4 --> sqrt((8+7+4)*(7+4-8)*(8-7+4)*(8+7-4))/4
Evaluating ... ...
A = 13.9977676791694
STEP 3: Convert Result to Output's Unit
13.9977676791694 Square Meter --> No Conversion Required
FINAL ANSWER
13.9977676791694 Square Meter <-- Area
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

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
Area of Triangle when semiperimeter is given
area_of_triangle = sqrt(Semiperimeter Of Triangle*(Semiperimeter Of Triangle-Side A)*(Semiperimeter Of Triangle-Side B)*(Semiperimeter Of Triangle-Side C)) 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 a Rhombus when side and diagonals are given
area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2)) Go
Area of a Rectangle when breadth and diagonal are given
area = Breadth*(sqrt((Diagonal)^2-(Breadth)^2)) Go
Area of a Rectangle when length and diagonal are given
area = Length*(sqrt((Diagonal)^2-(Length)^2)) Go
Area of a Trapezoid
area = ((Base A+Base B)/2)*Height Go
Area of a Rhombus when diagonals are given
area = (Diagonal A*Diagonal B)/2 Go
Area of a Hexagon
area = (3/2)*sqrt(3)*Side^2 Go
Area of a Triangle when base and height are given
area = 1/2*Base*Height Go
Area of a Rectangle when length and breadth are given
area = Length*Breadth Go
Area of a Parallelogram when base and height are given
area = Base*Height Go
Area of a Square when diagonal is given
area = 1/2*(Diagonal)^2 Go
Area of a Square when side is given
area = (Side A)^2 Go

Area of a Triangle when sides are given Formula

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
A = sqrt((a+b+c)*(b+c-a)*(a-b+c)*(a+b-c))/4

What is Area of a Triangle when sides and perimeter are given?

The area of a triangle when sides and perimeter are given, also known as Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria which states that area of a triangle can be found when the length of all three sides are known. According to Heron, we can find the area of any given triangle, whether it is a scalene, isosceles or equilateral, by using the formula, provided the sides of the triangle.

How to Calculate Area of a Triangle when sides are given?

Area of a Triangle when sides are given calculator uses 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 to calculate the Area, The area of a triangle when sides are given is defined as the total region that is enclosed by a particular triangle with a given sides. Area and is denoted by A symbol.

How to calculate Area of a Triangle when sides are given using this online calculator? To use this online calculator for Area of a Triangle when sides are given, enter Side A (a), Side B (b) and Side C (c) and hit the calculate button. Here is how the Area of a Triangle when sides are given calculation can be explained with given input values -> 13.99777 = sqrt((8+7+4)*(7+4-8)*(8-7+4)*(8+7-4))/4.

FAQ

What is Area of a Triangle when sides are given?
The area of a triangle when sides are given is defined as the total region that is enclosed by a particular triangle with a given sides and is represented as A = sqrt((a+b+c)*(b+c-a)*(a-b+c)*(a+b-c))/4 or 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. 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 a Triangle when sides are given?
The area of a triangle when sides are given is defined as the total region that is enclosed by a particular triangle with a given sides is calculated using 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. To calculate Area of a Triangle when sides are given, you need Side A (a), Side B (b) and Side C (c). With our tool, you need to enter the respective value for 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?
In this formula, Area uses Side A, Side B and Side C. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • area = 1/2*Base*Height
  • area = Length*Breadth
  • area = Length*(sqrt((Diagonal)^2-(Length)^2))
  • area = Breadth*(sqrt((Diagonal)^2-(Breadth)^2))
  • area = (Side A)^2
  • area = 1/2*(Diagonal)^2
  • area = (Diagonal A*Diagonal B)/2
  • area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2))
  • area = Base*Height
  • area = ((Base A+Base B)/2)*Height
  • area = (3/2)*sqrt(3)*Side^2
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