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side c of a triangle Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_c = sqrt(Side B^2+Side A^2-2*Side A*Side B*cos(Angle C))
c = sqrt(b^2+a^2-2*a*b*cos(∠C))
This formula uses 2 Functions, 3 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
sqrt - Squre root function, sqrt(Number)
Variables Used
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 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)
Angle C - The angle C is one of the angles of a triangle. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Side B: 7 Meter --> 7 Meter No Conversion Required
Side A: 8 Meter --> 8 Meter No Conversion Required
Angle C: 220 Degree --> 3.8397243543868 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
c = sqrt(b^2+a^2-2*a*b*cos(∠C)) --> sqrt(7^2+8^2-2*8*7*cos(3.8397243543868))
Evaluating ... ...
c = 14.0995382062455
STEP 3: Convert Result to Output's Unit
14.0995382062455 Meter --> No Conversion Required
FINAL ANSWER
14.0995382062455 Meter <-- Side C
(Calculation completed in 00.016 seconds)
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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
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
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

Side c of Trapezoid given base angles and other side
side_c = Side D*sin(base angle 2)/sin(base angle 1) Go
Lateral side (leg) of an isosceles trapezoid if given area and bases of a trapezoid
side_c = (2*Area)/((Base A+Base B)*sin(Angle A)) Go
Lateral side (leg) of an isosceles trapezoid if given area of a trapezoid
side_c = Area/(Midline of a trapezoid*sin(Angle A)) Go
Lateral side (leg) of an isosceles trapezoid if given angle at the base, bases
side_c = (Base A-Base B)/(2*cos(Angle A)) Go
Lateral side (leg) of an isosceles trapezoid if given diagonal and bases
side_c = sqrt(Diagonal^2-(Base A*Base B)) Go
Lateral side(height) of right trapezoid given bases and other side
side_c = sqrt(Side D^2-(Base A-Base B)^2) Go
Side c of Trapezoid
side_c = Perimeter-Side A-Side B-Side D Go
Lateral side(height0 of right trapezoid given base and angle at base
side_c = (Base A-Base B)*tan(Angle A) Go
Side c of Trapezoid given base angles and height
side_c = Height/sin(base angle 1) Go
Lateral side(height) of right trapezoid given angle at base and other side
side_c = Side D*sin(Angle A) Go
Lateral side (leg) of a trapezoid if given angle at the base, height
side_c = Height/sin(Angle A) Go

side c of a triangle Formula

side_c = sqrt(Side B^2+Side A^2-2*Side A*Side B*cos(Angle C))
c = sqrt(b^2+a^2-2*a*b*cos(∠C))

How to Calculate side c of a triangle?

side c of a triangle calculator uses side_c = sqrt(Side B^2+Side A^2-2*Side A*Side B*cos(Angle C)) to calculate the Side C, Side c of a triangle is one of the three sides of the triangle. Side C and is denoted by c symbol.

How to calculate side c of a triangle using this online calculator? To use this online calculator for side c of a triangle, enter Side B (b), Side A (a) and Angle C (∠C) and hit the calculate button. Here is how the side c of a triangle calculation can be explained with given input values -> 14.09954 = sqrt(7^2+8^2-2*8*7*cos(3.8397243543868)).

FAQ

What is side c of a triangle?
Side c of a triangle is one of the three sides of the triangle and is represented as c = sqrt(b^2+a^2-2*a*b*cos(∠C)) or side_c = sqrt(Side B^2+Side A^2-2*Side A*Side B*cos(Angle C)). 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 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 and The angle C is one of the angles of a triangle.
How to calculate side c of a triangle?
Side c of a triangle is one of the three sides of the triangle is calculated using side_c = sqrt(Side B^2+Side A^2-2*Side A*Side B*cos(Angle C)). To calculate side c of a triangle, you need Side B (b), Side A (a) and Angle C (∠C). With our tool, you need to enter the respective value for Side B, Side A and Angle 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 Side C?
In this formula, Side C uses Side B, Side A and Angle C. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • side_c = Perimeter-Side A-Side B-Side D
  • side_c = Side D*sin(base angle 2)/sin(base angle 1)
  • side_c = Height/sin(base angle 1)
  • side_c = Height/sin(Angle A)
  • side_c = (Base A-Base B)/(2*cos(Angle A))
  • side_c = sqrt(Diagonal^2-(Base A*Base B))
  • side_c = Area/(Midline of a trapezoid*sin(Angle A))
  • side_c = (2*Area)/((Base A+Base B)*sin(Angle A))
  • side_c = sqrt(Side D^2-(Base A-Base B)^2)
  • side_c = (Base A-Base B)*tan(Angle A)
  • side_c = Side D*sin(Angle A)
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