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Area of Triangle given sides 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((Sa+Sb+Sc)*(Sb+Sc-Sa)*(Sa-Sb+Sc)*(Sa+Sb-Sc))/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((Sa+Sb+Sc)*(Sb+Sc-Sa)*(Sa-Sb+Sc)*(Sa+Sb-Sc))/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)

10+ Area and Angle of Triangle Calculators

Area of Triangle given sides
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
Area of Triangle by Heron's formula
area = sqrt(Semiperimeter*(Semiperimeter-Side A)*(Semiperimeter-Side B)*(Side A+Side B-Semiperimeter)) Go
Area of Triangle given two angles and third side
area = (Side A^2*sin(Angle B)*sin(Angle C))/(2*sin(pi-Angle B-Angle C)) Go
Area of Triangle given semiperimeter
area = sqrt(Semiperimeter*(Semiperimeter-Side A)*(Semiperimeter-Side B)*(Semiperimeter-Side C)) Go
Area of Triangle given circumradius and sides
area = (Side A*Side B*Side C)/(4*Circumradius) Go
Area of Triangle given two sides and third angle
area = Side A*Side B*sin(Angle C)/2 Go
Third angle of Triangle given two angles
angle_between_sides = (180*pi/180)-(Angle A+Angle B) Go
Area of Triangle having side of parallelogram as base given corresponding height
area = 0.5*Base*Height Go
Area of Triangle given base and height
area = 1/2*Base*Height Go
Area of Triangle formed by diagonal given area of parallelogram
area = (0.5)*Area of cross section at the inlet Go

Area of Triangle given sides 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((Sa+Sb+Sc)*(Sb+Sc-Sa)*(Sa-Sb+Sc)*(Sa+Sb-Sc))/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 Triangle given sides?

Area of Triangle given sides 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, Area of Triangle given sides 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 Triangle given sides using this online calculator? To use this online calculator for Area of Triangle given sides, enter Side A (Sa), Side B (Sb) & Side C (Sc) and hit the calculate button. Here is how the Area of Triangle given sides 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 Triangle given sides?
Area of Triangle given sides is defined as the total region that is enclosed by a particular triangle with a given sides and is represented as A = sqrt((Sa+Sb+Sc)*(Sb+Sc-Sa)*(Sa-Sb+Sc)*(Sa+Sb-Sc))/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 & 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 given sides?
Area of Triangle given sides 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 Triangle given sides, you need Side A (Sa), Side B (Sb) & Side C (Sc). With our tool, you need to enter the respective value for Side A, Side B & 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 & Side C. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • area = sqrt(Semiperimeter*(Semiperimeter-Side A)*(Semiperimeter-Side B)*(Side A+Side B-Semiperimeter))
  • area = 0.5*Base*Height
  • area = (0.5)*Area of cross section at the inlet
  • angle_between_sides = (180*pi/180)-(Angle A+Angle B)
  • area = sqrt(Semiperimeter*(Semiperimeter-Side A)*(Semiperimeter-Side B)*(Semiperimeter-Side C))
  • area = 1/2*Base*Height
  • 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
  • area = (Side A^2*sin(Angle B)*sin(Angle C))/(2*sin(pi-Angle B-Angle C))
  • area = Side A*Side B*sin(Angle C)/2
  • area = (Side A*Side B*Side C)/(4*Circumradius)
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