Credits

Softusvista Office (Pune), India
Team Softusvista has created this Calculator and 500+ more calculators!
Bhilai Institute of Technology (BIT), Raipur
Himanshi Sharma has verified this Calculator and 500+ more calculators!

side b of a triangle Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_b = sqrt(Side A^2+Side C^2-2*Side A*Side C*cos(Angle B))
b = sqrt(a^2+c^2-2*a*c*cos(∠B))
This formula uses 2 Functions, 3 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
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 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)
Angle B - The angle B is one of the angles of a triangle. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Side A: 8 Meter --> 8 Meter No Conversion Required
Side C: 4 Meter --> 4 Meter No Conversion Required
Angle B: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
b = sqrt(a^2+c^2-2*a*c*cos(∠B)) --> sqrt(8^2+4^2-2*8*4*cos(0.785398163397301))
Evaluating ... ...
b = 5.89450303283104
STEP 3: Convert Result to Output's Unit
5.89450303283104 Meter --> No Conversion Required
FINAL ANSWER
5.89450303283104 Meter <-- Side B
(Calculation completed in 00.031 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

Second side of kite given both diagonals
side_b = sqrt(((Diagonal/2)^2)+(symmetry Diagonal-Distance from center to a point)^2) Go
Side b of a parallelogram when diagonal and the other side is given
side_b = sqrt(2*(Diagonal 1)^2+2*(Diagonal 2)^2-4*(Side A)^2)/2 Go
Side b of parallelogram when diagonal and sides are given
side_b = sqrt((Diagonal 1^2+Diagonal 2^2-2*Side A^2)/2) Go
Leg b of right triangle given radius & other leg of circumscribed circle of a right triangle
side_b = sqrt(((4)*(Radius)^2)-(Side A)^2) Go
side b of rectangle given radius of the circumscribed circle of a rectangle
side_b = sqrt(((4)*(Radius)^2)-(Side A)^2) Go
Side of parallelogram BC from height measured at right angle form other side
side_b = Height of column1/sin(Angle B) Go
Side of parallelogram BC from height measured at right angle form that side
side_b = Height/sin(Angle A) Go
Side b of the parallelogram when the height and sine of an angle are given
side_b = Height/sin(Theta) Go
Second side of kite given perimeter and other side
side_b = (Perimeter/2)-Side A Go
Other side of half square kite given perimeter
side_b = (Perimeter/2)-Side A Go
Side b of the parallelogram when the area and height are given
side_b = Area/Height Go

side b of a triangle Formula

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

How to Calculate side b of a triangle?

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

How to calculate side b of a triangle using this online calculator? To use this online calculator for side b of a triangle, enter Side A (a), Side C (c) and Angle B (∠B) and hit the calculate button. Here is how the side b of a triangle calculation can be explained with given input values -> 5.894503 = sqrt(8^2+4^2-2*8*4*cos(0.785398163397301)).

FAQ

What is side b of a triangle?
Side b of a triangle is one of the three sides of the triangle and is represented as b = sqrt(a^2+c^2-2*a*c*cos(∠B)) or side_b = sqrt(Side A^2+Side C^2-2*Side A*Side C*cos(Angle B)). 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 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 and The angle B is one of the angles of a triangle.
How to calculate side b of a triangle?
Side b of a triangle is one of the three sides of the triangle is calculated using side_b = sqrt(Side A^2+Side C^2-2*Side A*Side C*cos(Angle B)). To calculate side b of a triangle, you need Side A (a), Side C (c) and Angle B (∠B). With our tool, you need to enter the respective value for Side A, Side C and Angle B 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 B?
In this formula, Side B uses Side A, Side C and Angle B. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • side_b = sqrt(2*(Diagonal 1)^2+2*(Diagonal 2)^2-4*(Side A)^2)/2
  • side_b = Height/sin(Theta)
  • side_b = Area/Height
  • side_b = Height/sin(Angle A)
  • side_b = Height of column1/sin(Angle B)
  • side_b = sqrt((Diagonal 1^2+Diagonal 2^2-2*Side A^2)/2)
  • side_b = sqrt(((4)*(Radius)^2)-(Side A)^2)
  • side_b = sqrt(((4)*(Radius)^2)-(Side A)^2)
  • side_b = sqrt(((Diagonal/2)^2)+(symmetry Diagonal-Distance from center to a point)^2)
  • side_b = (Perimeter/2)-Side A
  • side_b = (Perimeter/2)-Side A
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!