1. What is a Right Angled Isosceles Triangle?

Definition: A right-angled isosceles triangle is a triangle with one 90-degree angle and two equal sides (legs) with equal angles opposite them.

Properties: It has one right angle (90°), two equal sides (legs), and two equal angles of 45° each.

2. How Does the Area Calculation Work?

The calculator uses the formula:

Where:

• \( A \) — Area of the triangle (square meters)
• \( \text{leg} \) — Length of the equal sides (meters)

Explanation: The area equals half the square of one leg length since both legs are equal in an isosceles right triangle.

3. Practical Applications

Usage: This calculation is useful in architecture, engineering, and design for determining areas of triangular spaces, roof sections, or land plots.

4. Using the Calculator

Tips: Simply enter the length of one leg in meters. The length must be greater than 0.

5. Frequently Asked Questions (FAQ)

Q1: What if I know the hypotenuse instead of the leg?
A: First calculate leg length: leg = hypotenuse/√2, then use this calculator.

Q2: Are the units always in meters?
A: No, you can use any unit as long as you're consistent. The area will be in square units of whatever unit you used for the legs.

Q3: How accurate is this calculation?
A: The calculation is mathematically exact. Any inaccuracy would come from measurement errors in determining the leg length.

Q4: Can this formula be used for non-isosceles right triangles?
A: No, for general right triangles use: Area = (1/2) × base × height.

Q5: What's the relationship between leg length and hypotenuse?
A: Hypotenuse = leg × √2 in an isosceles right triangle.