Legs of Isosceles Right Triangle given Perimeter Calculator

✖The Legs of Isosceles Right Triangle are the two equal sides, of the three sides of the Isosceles Right Triangle, which are perpendicular to each other.ⓘ Legs of Isosceles Right Triangle given Perimeter [S_Legs]

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Formula

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Legs of Isosceles Right Triangle given Perimeter

Formula

`"S"_{"Legs"} = "P"/(2+sqrt(2))`

Example

`"7.908117m"="27m"/(2+sqrt(2))`

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Legs of Isosceles Right Triangle given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Legs of Isosceles Right Triangle = Perimeter of Isosceles Right Triangle/(2+sqrt(2))
S_Legs = P/(2+sqrt(2))
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

Legs of Isosceles Right Triangle - (Measured in Meter) - The Legs of Isosceles Right Triangle are the two equal sides, of the three sides of the Isosceles Right Triangle, which are perpendicular to each other.
Perimeter of Isosceles Right Triangle - (Measured in Meter) - The Perimeter of Isosceles Right Triangle is the total distance around the edge of the triangle.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Isosceles Right Triangle: 27 Meter --> 27 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_Legs = P/(2+sqrt(2)) --> 27/(2+sqrt(2))

Evaluating ... ...

S_Legs = 7.90811690796322

STEP 3: Convert Result to Output's Unit

7.90811690796322 Meter --> No Conversion Required

FINAL ANSWER

7.90811690796322 ≈ 7.908117 Meter <-- Legs of Isosceles Right Triangle

(Calculation completed in 00.004 seconds)

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Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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Walchand College of Engineering (WCE), Sangli

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< 7 Side of Isosceles Right Triangle Calculators

Legs of Isosceles Right Triangle given Median Line on Hypotenuse

Go Legs of Isosceles Right Triangle = sqrt(2)*Median on Hypotenuse of Isosceles Right Triangle

Legs of Isosceles Right Triangle given Median Line on Legs

Go Legs of Isosceles Right Triangle = (2*Median on Legs of Isosceles Right Triangle)/sqrt(5)

Legs of Isosceles Right Triangle given Perimeter

Go Legs of Isosceles Right Triangle = Perimeter of Isosceles Right Triangle/(2+sqrt(2))

Legs of Isosceles Right Triangle given Circumradius

Go Legs of Isosceles Right Triangle = sqrt(2)*Circumradius of Isosceles Right Triangle

Legs of Isosceles Right Triangle given Inradius

Go Legs of Isosceles Right Triangle = (2+sqrt(2))*Inradius of Isosceles Right Triangle

Legs of Isosceles Right Triangle given Hypotenuse

Go Legs of Isosceles Right Triangle = Hypotenuse of Isosceles Right Triangle/sqrt(2)

Legs of Isosceles Right Triangle given Area

Go Legs of Isosceles Right Triangle = sqrt(2*Area of Isosceles Right Triangle)

Legs of Isosceles Right Triangle given Perimeter Formula

Legs of Isosceles Right Triangle = Perimeter of Isosceles Right Triangle/(2+sqrt(2))
S_Legs = P/(2+sqrt(2))

What is an Isosceles Right Triangle?

An Isosceles Right Triangle is a right triangle that consists of two equal length legs. Since the two legs of the right triangle are equal in length, the corresponding angles would also be congruent. Thus, in an isosceles right triangle, two legs and the two acute angles are congruent

What is Perimeter of a Triangle?

The perimeter of a triangle is the sum of all its three sides. We can work out the perimeter using the following formula: Perimeter of a triangle = sum of all three sides. If a, b and c are the sides of the triangle, then, Perimeter of the triangle = a + b + c, here 2*legs+hypotenuse.

How to Calculate Legs of Isosceles Right Triangle given Perimeter?

Legs of Isosceles Right Triangle given Perimeter calculator uses Legs of Isosceles Right Triangle = Perimeter of Isosceles Right Triangle/(2+sqrt(2)) to calculate the Legs of Isosceles Right Triangle, The Legs of Isosceles Right Triangle given Perimeter formula is defined as the two equal sides, of the three sides of the Isosceles Right Triangle, which are perpendicular to each other, calculated using its perimeter. Legs of Isosceles Right Triangle is denoted by S_Legs symbol.

How to calculate Legs of Isosceles Right Triangle given Perimeter using this online calculator? To use this online calculator for Legs of Isosceles Right Triangle given Perimeter, enter Perimeter of Isosceles Right Triangle (P) and hit the calculate button. Here is how the Legs of Isosceles Right Triangle given Perimeter calculation can be explained with given input values -> 7.908117 = 27/(2+sqrt(2)).

FAQ

What is Legs of Isosceles Right Triangle given Perimeter?

The Legs of Isosceles Right Triangle given Perimeter formula is defined as the two equal sides, of the three sides of the Isosceles Right Triangle, which are perpendicular to each other, calculated using its perimeter and is represented as S_Legs = P/(2+sqrt(2)) or Legs of Isosceles Right Triangle = Perimeter of Isosceles Right Triangle/(2+sqrt(2)). The Perimeter of Isosceles Right Triangle is the total distance around the edge of the triangle.

How to calculate Legs of Isosceles Right Triangle given Perimeter?

The Legs of Isosceles Right Triangle given Perimeter formula is defined as the two equal sides, of the three sides of the Isosceles Right Triangle, which are perpendicular to each other, calculated using its perimeter is calculated using Legs of Isosceles Right Triangle = Perimeter of Isosceles Right Triangle/(2+sqrt(2)). To calculate Legs of Isosceles Right Triangle given Perimeter, you need Perimeter of Isosceles Right Triangle (P). With our tool, you need to enter the respective value for Perimeter of Isosceles Right Triangle 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 Legs of Isosceles Right Triangle?

In this formula, Legs of Isosceles Right Triangle uses Perimeter of Isosceles Right Triangle. We can use 6 other way(s) to calculate the same, which is/are as follows -

Legs of Isosceles Right Triangle = Hypotenuse of Isosceles Right Triangle/sqrt(2)
Legs of Isosceles Right Triangle = sqrt(2)*Median on Hypotenuse of Isosceles Right Triangle
Legs of Isosceles Right Triangle = (2*Median on Legs of Isosceles Right Triangle)/sqrt(5)
Legs of Isosceles Right Triangle = sqrt(2*Area of Isosceles Right Triangle)
Legs of Isosceles Right Triangle = sqrt(2)*Circumradius of Isosceles Right Triangle
Legs of Isosceles Right Triangle = (2+sqrt(2))*Inradius of Isosceles Right Triangle

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