Base Length of Crossed Rectangle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Base Length of Crossed Rectangle = sqrt((4*Leg Length of Crossed Rectangle^2)-Rectangle Side of Crossed Rectangle^2)
lBase = sqrt((4*lLeg^2)-SRectangle^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
Base Length of Crossed Rectangle - (Measured in Meter) - Base Length of Crossed Rectangle is the unequal side of any of the isosceles triangles present in the Crossed Rectangle.
Leg Length of Crossed Rectangle - (Measured in Meter) - Leg Length of Crossed Rectangle is the length of equal sides of any of the isosceles triangles present in the Crossed Rectangle.
Rectangle Side of Crossed Rectangle - (Measured in Meter) - Rectangle Side of Crossed Rectangle is the distance between the base corners or the top corners of each isosceles triangle in the Crossed Rectangle.
STEP 1: Convert Input(s) to Base Unit
Leg Length of Crossed Rectangle: 5 Meter --> 5 Meter No Conversion Required
Rectangle Side of Crossed Rectangle: 6 Meter --> 6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
lBase = sqrt((4*lLeg^2)-SRectangle^2) --> sqrt((4*5^2)-6^2)
Evaluating ... ...
lBase = 8
STEP 3: Convert Result to Output's Unit
8 Meter --> No Conversion Required
FINAL ANSWER
8 Meter <-- Base Length of Crossed Rectangle
(Calculation completed in 00.004 seconds)

Credits

Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Verified by Anamika Mittal
Vellore Institute of Technology (VIT), Bhopal
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3 Base Length of Crossed Rectangle Calculators

Base Length of Crossed Rectangle
Go Base Length of Crossed Rectangle = sqrt((4*Leg Length of Crossed Rectangle^2)-Rectangle Side of Crossed Rectangle^2)
Base Length of Crossed Rectangle given Perimeter
Go Base Length of Crossed Rectangle = (Perimeter of Crossed Rectangle-(4*Leg Length of Crossed Rectangle))/2
Base Length of Crossed Rectangle given Area
Go Base Length of Crossed Rectangle = (2*Area of Crossed Rectangle)/Rectangle Side of Crossed Rectangle

Base Length of Crossed Rectangle Formula

Base Length of Crossed Rectangle = sqrt((4*Leg Length of Crossed Rectangle^2)-Rectangle Side of Crossed Rectangle^2)
lBase = sqrt((4*lLeg^2)-SRectangle^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. Geometrically a Crossed Rectangle consists of two congruent isosceles triangles joined symmetrically each other at the corner of unequal angle.

How to Calculate Base Length of Crossed Rectangle?

Base Length of Crossed Rectangle calculator uses Base Length of Crossed Rectangle = sqrt((4*Leg Length of Crossed Rectangle^2)-Rectangle Side of Crossed Rectangle^2) to calculate the Base Length of Crossed Rectangle, Base Length of Crossed Rectangle is defined as the distance between the base corners or the top corners of each isosceles triangle in the Crossed Rectangle. Base Length of Crossed Rectangle is denoted by lBase symbol.

How to calculate Base Length of Crossed Rectangle using this online calculator? To use this online calculator for Base Length of Crossed Rectangle, enter Leg Length of Crossed Rectangle (lLeg) & Rectangle Side of Crossed Rectangle (SRectangle) and hit the calculate button. Here is how the Base Length of Crossed Rectangle calculation can be explained with given input values -> 8 = sqrt((4*5^2)-6^2).

FAQ

What is Base Length of Crossed Rectangle?
Base Length of Crossed Rectangle is defined as the distance between the base corners or the top corners of each isosceles triangle in the Crossed Rectangle and is represented as lBase = sqrt((4*lLeg^2)-SRectangle^2) or Base Length of Crossed Rectangle = sqrt((4*Leg Length of Crossed Rectangle^2)-Rectangle Side of Crossed Rectangle^2). Leg Length of Crossed Rectangle is the length of equal sides of any of the isosceles triangles present in the Crossed Rectangle & Rectangle Side of Crossed Rectangle is the distance between the base corners or the top corners of each isosceles triangle in the Crossed Rectangle.
How to calculate Base Length of Crossed Rectangle?
Base Length of Crossed Rectangle is defined as the distance between the base corners or the top corners of each isosceles triangle in the Crossed Rectangle is calculated using Base Length of Crossed Rectangle = sqrt((4*Leg Length of Crossed Rectangle^2)-Rectangle Side of Crossed Rectangle^2). To calculate Base Length of Crossed Rectangle, you need Leg Length of Crossed Rectangle (lLeg) & Rectangle Side of Crossed Rectangle (SRectangle). With our tool, you need to enter the respective value for Leg Length of Crossed Rectangle & Rectangle Side of Crossed Rectangle 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 Base Length of Crossed Rectangle?
In this formula, Base Length of Crossed Rectangle uses Leg Length of Crossed Rectangle & Rectangle Side of Crossed Rectangle. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Base Length of Crossed Rectangle = (Perimeter of Crossed Rectangle-(4*Leg Length of Crossed Rectangle))/2
  • Base Length of Crossed Rectangle = (2*Area of Crossed Rectangle)/Rectangle Side of Crossed Rectangle
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