side c of a triangle Calculator

Main Category	Math ↺
Math	Trigonometry ↺
Trigonometry

✖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 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%
✖The angle C is one of the angles of a triangle.ⓘ Angle C [∠C]			+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 of a triangle [c]

⎘ Copy

👎

Formula

Reset

👍

Credits

Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has created this Calculator and 500+ more calculators!

Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 500+ more calculators!

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)

You are here

< 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)

Facebook
Twitter
WhatsApp
Reddit
LinkedIn
E-Mail

Let Others Know

✖

Facebook

Twitter

Copied!