1. What is the Hypotenuse of Isosceles Right Triangle?

The Hypotenuse of Isosceles Right Triangle is the longest side of an isosceles right triangle. The length of the hypotenuse equals to square root of sum of squares of lengths of the other two sides.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( H \) — Hypotenuse of Isosceles Right Triangle (m)
• \( r_c \) — Circumradius of Isosceles Right Triangle (m)

Explanation: In an isosceles right triangle, the hypotenuse is exactly twice the length of the circumradius.

3. Importance of Hypotenuse Calculation

Details: Calculating the hypotenuse is essential for determining the complete dimensions of an isosceles right triangle, which has applications in geometry, construction, and various engineering fields.

4. Using the Calculator

Tips: Enter the circumradius value in meters. The value must be valid (greater than 0).

5. Frequently Asked Questions (FAQ)

Q1: What is an isosceles right triangle?
A: An isosceles right triangle is a right triangle with two equal sides and two equal angles of 45 degrees each.

Q2: How is circumradius related to the hypotenuse?
A: In an isosceles right triangle, the circumradius is exactly half the length of the hypotenuse.

Q3: Can this formula be used for all right triangles?
A: No, this specific relationship (H = 2 × rc) applies only to isosceles right triangles.

Q4: What are the units for measurement?
A: The calculator uses meters, but the relationship holds true for any consistent unit of measurement.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for perfect isosceles right triangles.