Side of Rhombus given Short Diagonal and Long Diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Side of Rhombus = (sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))/2
S = (sqrt(dLong^2+dShort^2))/2
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Side of Rhombus - (Measured in Meter) - The Side of Rhombus is the length of any of the four edges.
Long Diagonal of Rhombus - (Measured in Meter) - The Long Diagonal of Rhombus is the length of line joining the acute angle corners of a Rhombus.
Short Diagonal of Rhombus - (Measured in Meter) - A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a Rhombus.
STEP 1: Convert Input(s) to Base Unit
Long Diagonal of Rhombus: 18 Meter --> 18 Meter No Conversion Required
Short Diagonal of Rhombus: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = (sqrt(dLong^2+dShort^2))/2 --> (sqrt(18^2+8^2))/2
Evaluating ... ...
S = 9.8488578017961
STEP 3: Convert Result to Output's Unit
9.8488578017961 Meter --> No Conversion Required
FINAL ANSWER
9.8488578017961 9.848858 Meter <-- Side of Rhombus
(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru
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Vellore Institute of Technology (VIT), Bhopal
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9 Side of Rhombus Calculators

Side of Rhombus given Area
Go Side of Rhombus = sqrt(Area of Rhombus/sin(Acute Angle of Rhombus))
Side of Rhombus given Short Diagonal and Long Diagonal
Go Side of Rhombus = (sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))/2
Side of Rhombus given Short Diagonal and Obtuse Angle
Go Side of Rhombus = Short Diagonal of Rhombus/(2*cos(Obtuse Angle of Rhombus/2))
Side of Rhombus given Long Diagonal and Obtuse Angle
Go Side of Rhombus = Long Diagonal of Rhombus/(2*sin(Obtuse Angle of Rhombus/2))
Side of Rhombus given Short Diagonal
Go Side of Rhombus = Short Diagonal of Rhombus/(2*sin(Acute Angle of Rhombus/2))
Side of Rhombus given Long Diagonal
Go Side of Rhombus = Long Diagonal of Rhombus/(2*cos(Acute Angle of Rhombus/2))
Side of Rhombus given Inradius
Go Side of Rhombus = (2*Inradius of Rhombus)/sin(Acute Angle of Rhombus)
Side of Rhombus given Height
Go Side of Rhombus = Height of Rhombus/sin(Acute Angle of Rhombus)
Side of Rhombus given Perimeter
Go Side of Rhombus = Perimeter of Rhombus/4

1 Side of Rhombus Calculators

Side of Rhombus given Short Diagonal and Long Diagonal
Go Side of Rhombus = (sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))/2

Side of Rhombus given Short Diagonal and Long Diagonal Formula

Side of Rhombus = (sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))/2
S = (sqrt(dLong^2+dShort^2))/2

What is a Rhombus?


A Rhombus is a special case of a parallelogram. In a Rhombus, opposite sides are parallel and the opposite angles are equal. Moreover, all the sides of a Rhombus are equal in length, and the diagonals bisect each other at right angles. The rhombus is also called a diamond or Rhombus diamond. The plural form of a Rhombus is Rhombi or Rhombuses.

How to Calculate Side of Rhombus given Short Diagonal and Long Diagonal?

Side of Rhombus given Short Diagonal and Long Diagonal calculator uses Side of Rhombus = (sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))/2 to calculate the Side of Rhombus, Side of Rhombus given Short Diagonal and Long Diagonal is defined as the length of the line segment joining the two adjacent vertices of the Rhombus, calculated using both the diagonals of the Rhombus. Side of Rhombus is denoted by S symbol.

How to calculate Side of Rhombus given Short Diagonal and Long Diagonal using this online calculator? To use this online calculator for Side of Rhombus given Short Diagonal and Long Diagonal, enter Long Diagonal of Rhombus (dLong) & Short Diagonal of Rhombus (dShort) and hit the calculate button. Here is how the Side of Rhombus given Short Diagonal and Long Diagonal calculation can be explained with given input values -> 9.848858 = (sqrt(18^2+8^2))/2.

FAQ

What is Side of Rhombus given Short Diagonal and Long Diagonal?
Side of Rhombus given Short Diagonal and Long Diagonal is defined as the length of the line segment joining the two adjacent vertices of the Rhombus, calculated using both the diagonals of the Rhombus and is represented as S = (sqrt(dLong^2+dShort^2))/2 or Side of Rhombus = (sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))/2. The Long Diagonal of Rhombus is the length of line joining the acute angle corners of a Rhombus & A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a Rhombus.
How to calculate Side of Rhombus given Short Diagonal and Long Diagonal?
Side of Rhombus given Short Diagonal and Long Diagonal is defined as the length of the line segment joining the two adjacent vertices of the Rhombus, calculated using both the diagonals of the Rhombus is calculated using Side of Rhombus = (sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))/2. To calculate Side of Rhombus given Short Diagonal and Long Diagonal, you need Long Diagonal of Rhombus (dLong) & Short Diagonal of Rhombus (dShort). With our tool, you need to enter the respective value for Long Diagonal of Rhombus & Short Diagonal of Rhombus 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 of Rhombus?
In this formula, Side of Rhombus uses Long Diagonal of Rhombus & Short Diagonal of Rhombus. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Side of Rhombus = sqrt(Area of Rhombus/sin(Acute Angle of Rhombus))
  • Side of Rhombus = Perimeter of Rhombus/4
  • Side of Rhombus = Short Diagonal of Rhombus/(2*sin(Acute Angle of Rhombus/2))
  • Side of Rhombus = Short Diagonal of Rhombus/(2*cos(Obtuse Angle of Rhombus/2))
  • Side of Rhombus = Long Diagonal of Rhombus/(2*sin(Obtuse Angle of Rhombus/2))
  • Side of Rhombus = Long Diagonal of Rhombus/(2*cos(Acute Angle of Rhombus/2))
  • Side of Rhombus = (2*Inradius of Rhombus)/sin(Acute Angle of Rhombus)
  • Side of Rhombus = Height of Rhombus/sin(Acute Angle of Rhombus)
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