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Diagonal of a Parallelogram (Diagonal 1) Solution

STEP 0: Pre-Calculation Summary
Formula Used
diagonal_1 = sqrt(2*Side A^2+2*Side B^2-Diagonal 2^2)
d1 = sqrt(2*a^2+2*b^2-d2^2)
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)
Diagonal 2 - The Diagonal 2 is the line stretching from one corner of the figure to the opposite corner through the center of the figure. (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
Diagonal 2: 6 Meter --> 6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d1 = sqrt(2*a^2+2*b^2-d2^2) --> sqrt(2*8^2+2*7^2-6^2)
Evaluating ... ...
d1 = 13.7840487520902
STEP 3: Convert Result to Output's Unit
13.7840487520902 Meter --> No Conversion Required
FINAL ANSWER
13.7840487520902 Meter <-- Diagonal 1
(Calculation completed in 00.031 seconds)

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

Diagonal 1 of a trapezoid
diagonal_1 = sqrt(Side A^2*Side B-Side A*Side B^2-Side B*Side C^2+Side A*Side D^2)/sqrt(Side A-Side B) Go
Diagonal d1 of Trapezoid given all four sides
diagonal_1 = sqrt((Side D)^2+(Base A*Base B)-(Base A*((Side D)^2-(Side C)^2)/(Base A-Base B))) Go
Diagonal d1 of Trapezoid given base angles and sides
diagonal_1 = sqrt((Base A)^2+(Side D)^2-(2*Base A*Side D*cos(base angle 2))) Go
Diagonal d1 of Trapezoid given height, bases and lateral sides
diagonal_1 = sqrt((Base A)^2+(Side D)^2-(2*Base A)*sqrt(Side D^2-Height^2)) Go
Diagonal 1 of the parallelogram when sides and cosine β are given
diagonal_1 = sqrt((Side A)^2+(Side B)^2-2*Side A*Side B*cos(Theta)) Go
Diagonal d1 of Trapezoid given other diagonal, angle between the diagonals and height
diagonal_1 = (Height*(Base A+Base B))/(Diagonal 2*sin(Angle A)) Go
Diagonal d1 of Trapezoid given height, angles at the base and sides
diagonal_1 = sqrt(Height^2+(Base A-Height*cot(base angle 2))^2) Go
Diagonal d1 of Trapezoid given height, angles at base and base b
diagonal_1 = sqrt(Height^2+(Base B+Height*cot(base angle 1))^2) Go
Diagonal of a rhombus when other diagonal and half-angle are given
diagonal_1 = Diagonal 2*tan(Half angle between sides) Go
Diagonal of a rhombus when side and other diagonal are given
diagonal_1 = sqrt(4*Side^2-Diagonal 2^2) Go
Diagonal of a rhombus when area and other diagonal are given
diagonal_1 = (2*Area)/Diagonal 2 Go

Diagonal of a Parallelogram (Diagonal 1) Formula

diagonal_1 = sqrt(2*Side A^2+2*Side B^2-Diagonal 2^2)
d1 = sqrt(2*a^2+2*b^2-d2^2)

What is Diagonal of a Parallelogram (Diagonal 1)?

A parallelogram is a quadrilateral whose opposite sides are parallel and equal. The opposite sides being parallel and equal, forms equal angles on the opposite sides. Diagonal of a parallelogram (Diagonal 1) is one of the segments which connect the opposite corners of the figure.

How to Calculate Diagonal of a Parallelogram (Diagonal 1)?

Diagonal of a Parallelogram (Diagonal 1) calculator uses diagonal_1 = sqrt(2*Side A^2+2*Side B^2-Diagonal 2^2) to calculate the Diagonal 1, The diagonal of a parallelogram (Diagonal 1) is one of the two straight lines joining two opposite corners of a parallelogram. Diagonal 1 and is denoted by d1 symbol.

How to calculate Diagonal of a Parallelogram (Diagonal 1) using this online calculator? To use this online calculator for Diagonal of a Parallelogram (Diagonal 1), enter Side A (a), Side B (b) and Diagonal 2 (d2) and hit the calculate button. Here is how the Diagonal of a Parallelogram (Diagonal 1) calculation can be explained with given input values -> 13.78405 = sqrt(2*8^2+2*7^2-6^2).

FAQ

What is Diagonal of a Parallelogram (Diagonal 1)?
The diagonal of a parallelogram (Diagonal 1) is one of the two straight lines joining two opposite corners of a parallelogram and is represented as d1 = sqrt(2*a^2+2*b^2-d2^2) or diagonal_1 = sqrt(2*Side A^2+2*Side B^2-Diagonal 2^2). 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 The Diagonal 2 is the line stretching from one corner of the figure to the opposite corner through the center of the figure.
How to calculate Diagonal of a Parallelogram (Diagonal 1)?
The diagonal of a parallelogram (Diagonal 1) is one of the two straight lines joining two opposite corners of a parallelogram is calculated using diagonal_1 = sqrt(2*Side A^2+2*Side B^2-Diagonal 2^2). To calculate Diagonal of a Parallelogram (Diagonal 1), you need Side A (a), Side B (b) and Diagonal 2 (d2). With our tool, you need to enter the respective value for Side A, Side B and Diagonal 2 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 Diagonal 1?
In this formula, Diagonal 1 uses Side A, Side B and Diagonal 2. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • diagonal_1 = sqrt(4*Side^2-Diagonal 2^2)
  • diagonal_1 = (2*Area)/Diagonal 2
  • diagonal_1 = Diagonal 2*tan(Half angle between sides)
  • diagonal_1 = sqrt((Side A)^2+(Side B)^2-2*Side A*Side B*cos(Theta))
  • diagonal_1 = sqrt(Side A^2*Side B-Side A*Side B^2-Side B*Side C^2+Side A*Side D^2)/sqrt(Side A-Side B)
  • diagonal_1 = sqrt((Base A)^2+(Side D)^2-(2*Base A*Side D*cos(base angle 2)))
  • diagonal_1 = sqrt((Side D)^2+(Base A*Base B)-(Base A*((Side D)^2-(Side C)^2)/(Base A-Base B)))
  • diagonal_1 = sqrt(Height^2+(Base A-Height*cot(base angle 2))^2)
  • diagonal_1 = sqrt(Height^2+(Base B+Height*cot(base angle 1))^2)
  • diagonal_1 = sqrt((Base A)^2+(Side D)^2-(2*Base A)*sqrt(Side D^2-Height^2))
  • diagonal_1 = (Height*(Base A+Base B))/(Diagonal 2*sin(Angle A))
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