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Edge length of the base (a) of Square Pyramid given Height (h) and Edge length (e) Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_a = sqrt(2*((Side^2)-(Height^2)))
a = sqrt(2*((s^2)-(h^2)))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Side - The side 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)
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Side: 9 Meter --> 9 Meter No Conversion Required
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = sqrt(2*((s^2)-(h^2))) --> sqrt(2*((9^2)-(12^2)))
Evaluating ... ...
a = NaN
STEP 3: Convert Result to Output's Unit
NaN Meter --> No Conversion Required
FINAL ANSWER
NaN Meter <-- Side A
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Area of a Rhombus when side and diagonals are given
area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2)) Go
Volume of a Capsule
volume = pi*(Radius)^2*((4/3)*Radius+Side) Go
Volume of a Circular Cone
volume = (1/3)*pi*(Radius)^2*Height Go
Area of a Trapezoid
area = ((Base A+Base B)/2)*Height Go
Volume of a Circular Cylinder
volume = pi*(Radius)^2*Height Go
Area of a Octagon
area = 2*(1+sqrt(2))*(Side)^2 Go
Volume of a Pyramid
volume = (1/3)*Side^2*Height Go
Area of a Hexagon
area = (3/2)*sqrt(3)*Side^2 Go
Area of a Triangle when base and height are given
area = 1/2*Base*Height Go
Area of a Parallelogram when base and height are given
area = Base*Height Go
Volume of a Cube
volume = Side^3 Go

11 Other formulas that calculate the same Output

Side a of a triangle
side_a = sqrt((Side B)^2+(Side C)^2-2*Side B*Side C*cos(Angle A)) Go
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 'a' of a parallelogram if angle related to the side and height is known
side_a = Height of column 2/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

Edge length of the base (a) of Square Pyramid given Height (h) and Edge length (e) Formula

side_a = sqrt(2*((Side^2)-(Height^2)))
a = sqrt(2*((s^2)-(h^2)))

What is Square Pyramid?

In geometry, a square pyramid is a pyramid having a square base. If the apex is perpendicularly above the center of the square, it is a right square pyramid, and has C4v symmetry. If all edges are equal, it is an equilateral square pyramid, the Johnson solid J1.

How to Calculate Edge length of the base (a) of Square Pyramid given Height (h) and Edge length (e)?

Edge length of the base (a) of Square Pyramid given Height (h) and Edge length (e) calculator uses side_a = sqrt(2*((Side^2)-(Height^2))) to calculate the Side A, Edge length of the base (a) of Square Pyramid given Height (h) and Edge length (e)formula is defined as a straight line connecting two adjacent vertices of base of Square Pyramid. Where, side = Edge length (e) and side_a = Edge length of the base (a) . Side A and is denoted by a symbol.

How to calculate Edge length of the base (a) of Square Pyramid given Height (h) and Edge length (e) using this online calculator? To use this online calculator for Edge length of the base (a) of Square Pyramid given Height (h) and Edge length (e), enter Side (s) and Height (h) and hit the calculate button. Here is how the Edge length of the base (a) of Square Pyramid given Height (h) and Edge length (e) calculation can be explained with given input values -> NaN = sqrt(2*((9^2)-(12^2))).

FAQ

What is Edge length of the base (a) of Square Pyramid given Height (h) and Edge length (e)?
Edge length of the base (a) of Square Pyramid given Height (h) and Edge length (e)formula is defined as a straight line connecting two adjacent vertices of base of Square Pyramid. Where, side = Edge length (e) and side_a = Edge length of the base (a) and is represented as a = sqrt(2*((s^2)-(h^2))) or side_a = sqrt(2*((Side^2)-(Height^2))). The side 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 Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Edge length of the base (a) of Square Pyramid given Height (h) and Edge length (e)?
Edge length of the base (a) of Square Pyramid given Height (h) and Edge length (e)formula is defined as a straight line connecting two adjacent vertices of base of Square Pyramid. Where, side = Edge length (e) and side_a = Edge length of the base (a) is calculated using side_a = sqrt(2*((Side^2)-(Height^2))). To calculate Edge length of the base (a) of Square Pyramid given Height (h) and Edge length (e), you need Side (s) and Height (h). With our tool, you need to enter the respective value for Side and Height 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 and Height. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • side_a = sqrt((Side B)^2+(Side C)^2-2*Side B*Side C*cos(Angle A))
  • 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 column 2/sin(Angle A)
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