Edge Length of Square of Concave Pentagon given Leg Length of Triangle Calculator

✖The Leg Length of Triangle of Concave Pentagon is the length of the perpendicular sides of the isosceles right triangle that cut from the square to form the Concave Pentagon.ⓘ Leg Length of Triangle of Concave Pentagon [l_{Leg(Triangle)}]

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✖The Edge Length of Square of Concave Pentagon is the length of any edge of the square from which the Concave Pentagon is created by removing one triangle formed by the diagonals of the square.ⓘ Edge Length of Square of Concave Pentagon given Leg Length of Triangle [l_e(Square)]

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Formula

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Edge Length of Square of Concave Pentagon given Leg Length of Triangle

Formula

`"l"_{"e(Square)"} = sqrt(2)*"l"_{"Leg(Triangle)"}`

Example

`"4.242641m"=sqrt(2)*"3m"`

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Edge Length of Square of Concave Pentagon given Leg Length of Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Square of Concave Pentagon = sqrt(2)*Leg Length of Triangle of Concave Pentagon
l_e(Square) = sqrt(2)*l_{Leg(Triangle)}
This formula uses 1 Functions, 2 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

Edge Length of Square of Concave Pentagon - (Measured in Meter) - The Edge Length of Square of Concave Pentagon is the length of any edge of the square from which the Concave Pentagon is created by removing one triangle formed by the diagonals of the square.
Leg Length of Triangle of Concave Pentagon - (Measured in Meter) - The Leg Length of Triangle of Concave Pentagon is the length of the perpendicular sides of the isosceles right triangle that cut from the square to form the Concave Pentagon.

STEP 1: Convert Input(s) to Base Unit

Leg Length of Triangle of Concave Pentagon: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Square) = sqrt(2)*l_{Leg(Triangle)} --> sqrt(2)*3

Evaluating ... ...

l_e(Square) = 4.24264068711929

STEP 3: Convert Result to Output's Unit

4.24264068711929 Meter --> No Conversion Required

FINAL ANSWER

4.24264068711929 ≈ 4.242641 Meter <-- Edge Length of Square of Concave Pentagon

(Calculation completed in 00.004 seconds)

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< 3 Edge Length of Square of Concave Pentagon Calculators

Edge Length of Square of Concave Pentagon given Leg Length of Triangle

Go Edge Length of Square of Concave Pentagon = sqrt(2)*Leg Length of Triangle of Concave Pentagon

Edge Length of Square of Concave Pentagon given Perimeter

Go Edge Length of Square of Concave Pentagon = Perimeter of Concave Pentagon/(3+sqrt(2))

Edge Length of Square of Concave Pentagon given Area

Go Edge Length of Square of Concave Pentagon = sqrt(4/3*Area of Concave Pentagon)

Edge Length of Square of Concave Pentagon given Leg Length of Triangle Formula

Edge Length of Square of Concave Pentagon = sqrt(2)*Leg Length of Triangle of Concave Pentagon
l_e(Square) = sqrt(2)*l_{Leg(Triangle)}

What is a Concave Pentagon?

A pentagon is a geometrical shape, which has five sides and five angles. Here, “Penta” denotes five and “gon” denotes angle. The pentagon is one of the types of polygons. The sum of all the interior angles for a regular pentagon is 540 degrees. If a pentagon is regular, then all the sides are equal in length, and five angles are of equal measures. If the pentagon does not have equal side length and angle measure, then it is known as an irregular pentagon. If all the vertices of a pentagon are pointing outwards, it is known as a convex pentagon. If a pentagon has at least one vertex pointing inside, then the pentagon is known as a concave pentagon.

How to Calculate Edge Length of Square of Concave Pentagon given Leg Length of Triangle?

Edge Length of Square of Concave Pentagon given Leg Length of Triangle calculator uses Edge Length of Square of Concave Pentagon = sqrt(2)*Leg Length of Triangle of Concave Pentagon to calculate the Edge Length of Square of Concave Pentagon, The Edge Length of Square of Concave Pentagon given Leg Length of Triangle formula is defined as the length of any edge of the square from which the Concave Pentagon is created by removing one triangle formed by the diagonals of the square, calculated using the leg length of the triangle of Concave Pentagon. Edge Length of Square of Concave Pentagon is denoted by l_e(Square) symbol.

How to calculate Edge Length of Square of Concave Pentagon given Leg Length of Triangle using this online calculator? To use this online calculator for Edge Length of Square of Concave Pentagon given Leg Length of Triangle, enter Leg Length of Triangle of Concave Pentagon (l_{Leg(Triangle)}) and hit the calculate button. Here is how the Edge Length of Square of Concave Pentagon given Leg Length of Triangle calculation can be explained with given input values -> 4.242641 = sqrt(2)*3.

FAQ

What is Edge Length of Square of Concave Pentagon given Leg Length of Triangle?

The Edge Length of Square of Concave Pentagon given Leg Length of Triangle formula is defined as the length of any edge of the square from which the Concave Pentagon is created by removing one triangle formed by the diagonals of the square, calculated using the leg length of the triangle of Concave Pentagon and is represented as l_e(Square) = sqrt(2)*l_{Leg(Triangle)} or Edge Length of Square of Concave Pentagon = sqrt(2)*Leg Length of Triangle of Concave Pentagon. The Leg Length of Triangle of Concave Pentagon is the length of the perpendicular sides of the isosceles right triangle that cut from the square to form the Concave Pentagon.

How to calculate Edge Length of Square of Concave Pentagon given Leg Length of Triangle?

The Edge Length of Square of Concave Pentagon given Leg Length of Triangle formula is defined as the length of any edge of the square from which the Concave Pentagon is created by removing one triangle formed by the diagonals of the square, calculated using the leg length of the triangle of Concave Pentagon is calculated using Edge Length of Square of Concave Pentagon = sqrt(2)*Leg Length of Triangle of Concave Pentagon. To calculate Edge Length of Square of Concave Pentagon given Leg Length of Triangle, you need Leg Length of Triangle of Concave Pentagon (l_{Leg(Triangle)}). With our tool, you need to enter the respective value for Leg Length of Triangle of Concave Pentagon 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 Edge Length of Square of Concave Pentagon?

In this formula, Edge Length of Square of Concave Pentagon uses Leg Length of Triangle of Concave Pentagon. We can use 2 other way(s) to calculate the same, which is/are as follows -

Edge Length of Square of Concave Pentagon = sqrt(4/3*Area of Concave Pentagon)
Edge Length of Square of Concave Pentagon = Perimeter of Concave Pentagon/(3+sqrt(2))

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