Area of a Triangle when sides are given Calculator

Main Category	Math ↺
Math	Geometry ↺
Geometry	Area ↺
Area	Triangle ↺
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 A [a]			+10% -10%
✖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 B [b]			+10% -10%
✖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.ⓘ Side C [c]			+10% -10%

✖The area is the amount of two-dimensional space taken up by an object.ⓘ Area of a Triangle when sides are given [A]

⎘ Copy

👎

Formula

Reset

👍

Credits

Venkata Sai Prasanna Aradhyula

Birla Institute of Technology & Science (BITS), Hyderabad

Venkata Sai Prasanna Aradhyula has created this Calculator and 25+ more calculators!

Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has verified this Calculator and 300+ more calculators!

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)

You are here

< 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

Facebook
Twitter
WhatsApp
Reddit
LinkedIn
E-Mail

Let Others Know

✖

Facebook

Twitter

Copied!