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Area of Isosceles Right Triangle given perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = 0.5*(Perimeter/(2+sqrt(2)))^2
A = 0.5*(P/(2+sqrt(2)))^2
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Perimeter - The perimeter of a figure is the total distance around the edge of the figure. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Perimeter: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = 0.5*(P/(2+sqrt(2)))^2 --> 0.5*(20/(2+sqrt(2)))^2
Evaluating ... ...
A = 17.157287525381
STEP 3: Convert Result to Output's Unit
17.157287525381 Square Meter --> No Conversion Required
FINAL ANSWER
17.157287525381 Square Meter <-- Area
(Calculation completed in 00.015 seconds)

5 Area of Isosceles Right Triangle Calculators

Area of Isosceles Right Triangle given perimeter
area = 0.5*(Perimeter/(2+sqrt(2)))^2 Go
Area of Isosceles Right Triangle given inradius
area = (((2+sqrt(2))*Inradius)^2)/2 Go
Area of Isosceles Right Triangle given hypotenuse
area = (Hypotenuse of Triangle)^2/4 Go
Area of Isosceles Right Triangle given circumradius
area = (Circumradius)^2 Go
Area of Isosceles Right Triangle
area = (Side A^2)/2 Go

Area of Isosceles Right Triangle given perimeter Formula

area = 0.5*(Perimeter/(2+sqrt(2)))^2
A = 0.5*(P/(2+sqrt(2)))^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.

How to Calculate Area of Isosceles Right Triangle given perimeter?

Area of Isosceles Right Triangle given perimeter calculator uses area = 0.5*(Perimeter/(2+sqrt(2)))^2 to calculate the Area, The Area of Isosceles Right Triangle given perimeter formula calculates the region covered by isosceles right angled triangle when we have a prior info of its perimeter. Area and is denoted by A symbol.

How to calculate Area of Isosceles Right Triangle given perimeter using this online calculator? To use this online calculator for Area of Isosceles Right Triangle given perimeter, enter Perimeter (P) and hit the calculate button. Here is how the Area of Isosceles Right Triangle given perimeter calculation can be explained with given input values -> 17.15729 = 0.5*(20/(2+sqrt(2)))^2.

FAQ

What is Area of Isosceles Right Triangle given perimeter?
The Area of Isosceles Right Triangle given perimeter formula calculates the region covered by isosceles right angled triangle when we have a prior info of its perimeter and is represented as A = 0.5*(P/(2+sqrt(2)))^2 or area = 0.5*(Perimeter/(2+sqrt(2)))^2. The perimeter of a figure is the total distance around the edge of the figure.
How to calculate Area of Isosceles Right Triangle given perimeter?
The Area of Isosceles Right Triangle given perimeter formula calculates the region covered by isosceles right angled triangle when we have a prior info of its perimeter is calculated using area = 0.5*(Perimeter/(2+sqrt(2)))^2. To calculate Area of Isosceles Right Triangle given perimeter, you need Perimeter (P). With our tool, you need to enter the respective value for Perimeter 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 Area?
In this formula, Area uses Perimeter. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • area = (Side A^2)/2
  • area = (Hypotenuse of Triangle)^2/4
  • area = 0.5*(Perimeter/(2+sqrt(2)))^2
  • area = (Circumradius)^2
  • area = (((2+sqrt(2))*Inradius)^2)/2
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