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Side a of a triangle Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_a = sqrt((Side B)^2+(Side C)^2-2*Side B*Side C*cos(Angle A))
a = sqrt((b)^2+(c)^2-2*b*c*cos(∠A))
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 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 A - The angle A 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 C: 4 Meter --> 4 Meter No Conversion Required
Angle A: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = sqrt((b)^2+(c)^2-2*b*c*cos(∠A)) --> sqrt((7)^2+(4)^2-2*7*4*cos(0.5235987755982))
Evaluating ... ...
a = 4.06233644447028
STEP 3: Convert Result to Output's Unit
4.06233644447028 Meter --> No Conversion Required
FINAL ANSWER
4.06233644447028 Meter <-- Side A
(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 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
Chord Length when radius and angle are given
chord_length = sin(Angle A/2)*2*Radius 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

11 Other formulas that calculate the same Output

Side of Rhombus when area and angle are given
side_a = sqrt(Area)/sqrt(sin(Angle Between Sides)) Go
Side a of a triangle given side b, angles A and B
side_a = (Side B*sin(Angle A))/sin(Angle B) Go
Side of a parallelogram when diagonal and the other side is given
side_a = sqrt(2*(Diagonal 1)^2+2*(Diagonal 2)^2-4*(Side B)^2)/2 Go
Side of a Kite when other side and area are given
side_a = (Area*cosec(Angle Between Sides))/Side B Go
Side of a Rhombus when Diagonals are given
side_a = sqrt((Diagonal 1)^2+(Diagonal 2)^2)/2 Go
Side of parallelogram AB form height measured at right angle from other side (BC)
side_a = Height of column2/sin(Angle A) Go
Side 'a' of a parallelogram if angle related to the side and height is known
side_a = Height of column2/sin(Angle A) Go
Side of the parallelogram when the height and sine of an angle are given
side_a = Height/sin(Theta) Go
Side of a Kite when other side and perimeter are given
side_a = (Perimeter/2)-Side B Go
Side of the parallelogram when the area and height of the parallelogram are given
side_a = Area/Height Go
Side of Rhombus when area and height are given
side_a = Area/Height Go

Side a of a triangle Formula

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

How to Calculate Side a of a triangle?

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

How to calculate Side a of a triangle using this online calculator? To use this online calculator for Side a of a triangle, enter Side B (b), Side C (c) and Angle A (∠A) and hit the calculate button. Here is how the Side a of a triangle calculation can be explained with given input values -> 4.062336 = sqrt((7)^2+(4)^2-2*7*4*cos(30)).

FAQ

What is Side a of a triangle?
Side a of a triangle is one of the three sides of the triangle and is represented as a = sqrt((b)^2+(c)^2-2*b*c*cos(∠A)) or side_a = sqrt((Side B)^2+(Side C)^2-2*Side B*Side C*cos(Angle A)). 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 and The angle A is one of the angles of a triangle.
How to calculate Side a of a triangle?
Side a of a triangle is one of the three sides of the triangle is calculated using side_a = sqrt((Side B)^2+(Side C)^2-2*Side B*Side C*cos(Angle A)). To calculate Side a of a triangle, you need Side B (b), Side C (c) and Angle A (∠A). With our tool, you need to enter the respective value for Side B, Side C and Angle A 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 A?
In this formula, Side A uses Side B, Side C and Angle A. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • side_a = (Area*cosec(Angle Between Sides))/Side B
  • side_a = (Perimeter/2)-Side B
  • side_a = sqrt((Diagonal 1)^2+(Diagonal 2)^2)/2
  • side_a = Area/Height
  • side_a = sqrt(Area)/sqrt(sin(Angle Between Sides))
  • side_a = sqrt(2*(Diagonal 1)^2+2*(Diagonal 2)^2-4*(Side B)^2)/2
  • side_a = Height/sin(Theta)
  • side_a = Area/Height
  • side_a = (Side B*sin(Angle A))/sin(Angle B)
  • side_a = Height of column2/sin(Angle A)
  • side_a = Height of column2/sin(Angle A)
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