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Leg length of Crossed Rectangle Solution

STEP 0: Pre-Calculation Summary
Formula Used
leg_of_crossed_rectangle = sqrt(Base Length^2+Side^2)/2
l = sqrt(Tb^2+S^2)/2
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Base Length - Base Length in SCS Triangular Unit Hydrograph is a popular method used in watershed development activities, especially in small watersheds. (Measured in Meter)
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)
STEP 1: Convert Input(s) to Base Unit
Base Length: 10 Meter --> 10 Meter No Conversion Required
Side: 9 Meter --> 9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = sqrt(Tb^2+S^2)/2 --> sqrt(10^2+9^2)/2
Evaluating ... ...
l = 6.72681202353685
STEP 3: Convert Result to Output's Unit
6.72681202353685 Meter --> No Conversion Required
FINAL ANSWER
6.72681202353685 Meter <-- Leg of crossed rectangle
(Calculation completed in 00.015 seconds)

10+ Crossed Rectangle Calculators

Apex angle of Crossed Rectangle
theta = arccos(((2*Leg of crossed rectangle^2)-Base Length^2)/(2*Leg of crossed rectangle^2)) Go
Rectangle side of Crossed Rectangle
side = sqrt((4*Leg of crossed rectangle^2)-Base Length^2) Go
Base length of Crossed Rectangle
base_length = sqrt((4*Leg of crossed rectangle^2)-Side^2) Go
Leg length of Crossed Rectangle
leg_of_crossed_rectangle = sqrt(Base Length^2+Side^2)/2 Go
Perimeter of Crossed Rectangle
perimeter = (2*Base Length)+(4*Leg of crossed rectangle) Go
Base length of Crossed Rectangle given perimeter
base_length = (Perimeter-4*Leg of crossed rectangle)/2 Go
Leg length of Crossed Rectangle given perimeter
leg_of_crossed_rectangle = (Perimeter-2*Base Length)/4 Go
Area of Crossed Rectangle
area = (Base Length*Side)/2 Go
Intersection angle of Crossed Rectangle
angle_a = pi-Theta Go
Base angle of Crossed Rectangle
angle_b = Angle/2 Go

Leg length of Crossed Rectangle Formula

leg_of_crossed_rectangle = sqrt(Base Length^2+Side^2)/2
l = sqrt(Tb^2+S^2)/2

What is a crossed rectangle?

A crossed rectangle is a crossed (self-intersecting) quadrilateral which consists of two opposite sides of a rectangle along with the two diagonals (therefore only two sides are parallel). It is a special case of an antiparallelogram, and its angles are not right angles and not all equal, though opposite angles are equal.

How to Calculate Leg length of Crossed Rectangle?

Leg length of Crossed Rectangle calculator uses leg_of_crossed_rectangle = sqrt(Base Length^2+Side^2)/2 to calculate the Leg of crossed rectangle, Leg length of Crossed Rectangle is defined as c = √ a² + b² / 2 where c is leg length, a is base length and b is rectangle side of crossed rectangle. Leg of crossed rectangle is denoted by l symbol.

How to calculate Leg length of Crossed Rectangle using this online calculator? To use this online calculator for Leg length of Crossed Rectangle, enter Base Length (Tb) & Side (S) and hit the calculate button. Here is how the Leg length of Crossed Rectangle calculation can be explained with given input values -> 4.500003 = sqrt(0.01^2+9^2)/2.

FAQ

What is Leg length of Crossed Rectangle?
Leg length of Crossed Rectangle is defined as c = √ a² + b² / 2 where c is leg length, a is base length and b is rectangle side of crossed rectangle and is represented as l = sqrt(Tb^2+S^2)/2 or leg_of_crossed_rectangle = sqrt(Base Length^2+Side^2)/2. Base Length in SCS Triangular Unit Hydrograph is a popular method used in watershed development activities, especially in small watersheds & 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.
How to calculate Leg length of Crossed Rectangle?
Leg length of Crossed Rectangle is defined as c = √ a² + b² / 2 where c is leg length, a is base length and b is rectangle side of crossed rectangle is calculated using leg_of_crossed_rectangle = sqrt(Base Length^2+Side^2)/2. To calculate Leg length of Crossed Rectangle, you need Base Length (Tb) & Side (S). With our tool, you need to enter the respective value for Base Length & Side 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 Leg of crossed rectangle?
In this formula, Leg of crossed rectangle uses Base Length & Side. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • leg_of_crossed_rectangle = sqrt(Base Length^2+Side^2)/2
  • base_length = sqrt((4*Leg of crossed rectangle^2)-Side^2)
  • side = sqrt((4*Leg of crossed rectangle^2)-Base Length^2)
  • theta = arccos(((2*Leg of crossed rectangle^2)-Base Length^2)/(2*Leg of crossed rectangle^2))
  • angle_a = pi-Theta
  • angle_b = Angle/2
  • perimeter = (2*Base Length)+(4*Leg of crossed rectangle)
  • base_length = (Perimeter-4*Leg of crossed rectangle)/2
  • leg_of_crossed_rectangle = (Perimeter-2*Base Length)/4
  • area = (Base Length*Side)/2
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