Median Line on Legs of Isosceles Right Triangle given Inradius Calculator

✖The Inradius of Isosceles Right Triangle is defined as the radius of the circle inscribed inside the Isosceles Right Triangle.ⓘ Inradius of Isosceles Right Triangle [r_i]

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✖Median on Legs of Isosceles Right Triangle is a line segment joining the midpoint of the leg to its opposite vertex.ⓘ Median Line on Legs of Isosceles Right Triangle given Inradius [M_Legs]

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Median Line on Legs of Isosceles Right Triangle given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Median on Legs of Isosceles Right Triangle = sqrt(5)*(2+sqrt(2))*Inradius of Isosceles Right Triangle/2
M_Legs = sqrt(5)*(2+sqrt(2))*r_i/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

Median on Legs of Isosceles Right Triangle - (Measured in Meter) - Median on Legs of Isosceles Right Triangle is a line segment joining the midpoint of the leg to its opposite vertex.
Inradius of Isosceles Right Triangle - (Measured in Meter) - The Inradius of Isosceles Right Triangle is defined as the radius of the circle inscribed inside the Isosceles Right Triangle.

STEP 1: Convert Input(s) to Base Unit

Inradius of Isosceles Right Triangle: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_Legs = sqrt(5)*(2+sqrt(2))*r_i/2 --> sqrt(5)*(2+sqrt(2))*2/2

Evaluating ... ...

M_Legs = 7.63441361516796

STEP 3: Convert Result to Output's Unit

7.63441361516796 Meter --> No Conversion Required

FINAL ANSWER

7.63441361516796 ≈ 7.634414 Meter <-- Median on Legs of Isosceles Right Triangle

(Calculation completed in 00.004 seconds)

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Indian Institute of Information Technology (IIIT), Bhopal

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< Median Line of Isosceles Right Triangle Calculators

Median Line on Legs of Isosceles Right Triangle given Hypotenuse

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

Median Line on Hypotenuse of Isosceles Right Triangle

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

Median Line on Legs of Isosceles Right Triangle

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

Median Line on Hypotenuse of Isosceles Right Triangle given Hypotenuse

LaTeX Go Median on Hypotenuse of Isosceles Right Triangle = Hypotenuse of Isosceles Right Triangle/2

Median Line on Legs of Isosceles Right Triangle given Inradius Formula

LaTeX Go

Median on Legs of Isosceles Right Triangle = sqrt(5)*(2+sqrt(2))*Inradius of Isosceles Right Triangle/2
M_Legs = sqrt(5)*(2+sqrt(2))*r_i/2

What is Isosceles Right Triangle?

An Isosceles Right Triangle is a right triangle that consists of two equal-length legs. Thus, in an isosceles right triangle, two legs and the two acute angles are congruent. Since it is a right triangle, the angle between the two legs would be 90 degrees, and the legs would obviously be perpendicular to each other.

What is median?

In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

How to Calculate Median Line on Legs of Isosceles Right Triangle given Inradius?

Median Line on Legs of Isosceles Right Triangle given Inradius calculator uses Median on Legs of Isosceles Right Triangle = sqrt(5)*(2+sqrt(2))*Inradius of Isosceles Right Triangle/2 to calculate the Median on Legs of Isosceles Right Triangle, The Median Line on Legs of Isosceles Right Triangle given Inradius formula calculates the median from vertex formed including hypotenuse and adjacent legs, to its opposite side thus bisecting it, calculated using its inradius. Median on Legs of Isosceles Right Triangle is denoted by M_Legs symbol.

How to calculate Median Line on Legs of Isosceles Right Triangle given Inradius using this online calculator? To use this online calculator for Median Line on Legs of Isosceles Right Triangle given Inradius, enter Inradius of Isosceles Right Triangle (r_i) and hit the calculate button. Here is how the Median Line on Legs of Isosceles Right Triangle given Inradius calculation can be explained with given input values -> 7.634414 = sqrt(5)*(2+sqrt(2))*2/2.

FAQ

What is Median Line on Legs of Isosceles Right Triangle given Inradius?

The Median Line on Legs of Isosceles Right Triangle given Inradius formula calculates the median from vertex formed including hypotenuse and adjacent legs, to its opposite side thus bisecting it, calculated using its inradius and is represented as M_Legs = sqrt(5)*(2+sqrt(2))*r_i/2 or Median on Legs of Isosceles Right Triangle = sqrt(5)*(2+sqrt(2))*Inradius of Isosceles Right Triangle/2. The Inradius of Isosceles Right Triangle is defined as the radius of the circle inscribed inside the Isosceles Right Triangle.

How to calculate Median Line on Legs of Isosceles Right Triangle given Inradius?

The Median Line on Legs of Isosceles Right Triangle given Inradius formula calculates the median from vertex formed including hypotenuse and adjacent legs, to its opposite side thus bisecting it, calculated using its inradius is calculated using Median on Legs of Isosceles Right Triangle = sqrt(5)*(2+sqrt(2))*Inradius of Isosceles Right Triangle/2. To calculate Median Line on Legs of Isosceles Right Triangle given Inradius, you need Inradius of Isosceles Right Triangle (r_i). With our tool, you need to enter the respective value for Inradius 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 Median on Legs of Isosceles Right Triangle?

In this formula, Median on Legs of Isosceles Right Triangle uses Inradius of Isosceles Right Triangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Median on Legs of Isosceles Right Triangle = (sqrt(5)*Legs of Isosceles Right Triangle)/2
Median on Legs of Isosceles Right Triangle = sqrt(5/2)*Hypotenuse of Isosceles Right Triangle/2
Median on Legs of Isosceles Right Triangle = 1/2*sqrt(5)*Perimeter of Isosceles Right Triangle/(2+sqrt(2))

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