Perimeter of Isosceles Right Triangle given Median Line on Legs Calculator

Calculate Perimeter



Formula

The formula to calculate the Perimeter of an Isosceles Right Triangle is:

\[ P = (2 + \sqrt{2}) \left( \frac{2 \cdot \text{MLegs}}{\sqrt{5}} \right) \]

Definition

The perimeter of an isosceles right triangle is the total distance around the edge of the triangle. The median on legs is a line segment joining the midpoint of the leg to its opposite vertex.

Example Calculation

Let's assume the following value:

Using the formula:

\[ P = (2 + \sqrt{2}) \left( \frac{2 \cdot 9}{\sqrt{5}} \right) \approx 27.4839 \]

The Perimeter is approximately 27.4839 Meters.

Conversion Chart

Median on Legs (Meters) Perimeter (Meters)
8.5 25.957006291571055
9 27.483889014604650
9.5 29.010771737638244