Right Triangle Calculator

Right Triangle Calculator

Enter the lengths of the two legs to calculate the hypotenuse, area, and perimeter of the right triangle.

Steps for Calculation

  1. Input Values:
    • Enter the lengths of the two legs of the right triangle (e.g., 3 and 4).
  2. Calculate:
    • Click the Calculate button to compute the hypotenuse, area, and perimeter.
  3. View Result:
    • The calculated hypotenuse, area, and perimeter will be displayed below the button.

Detailed Description

  • Hypotenuse:
    • The hypotenuse is the longest side of a right-angled triangle, opposite the right angle.
    • It is calculated using the Pythagorean theorem:Hypotenuse=Leg A2+Leg B2Hypotenuse=Leg A2+Leg B2​
    • Example: For legs of lengths 3 and 4, the hypotenuse is 32+42=532+42​=5.
  • Area:
    • The area of a right-angled triangle is calculated using the formula:Area=12×Leg A×Leg BArea=21​×Leg A×Leg B
    • Example: For legs of lengths 3 and 4, the area is 12×3×4=621​×3×4=6.
  • Perimeter:
    • The perimeter of a right-angled triangle is the sum of the lengths of all three sides:Perimeter=Leg A+Leg B+HypotenusePerimeter=Leg A+Leg B+Hypotenuse
    • Example: For legs of lengths 3 and 4 and a hypotenuse of 5, the perimeter is 3+4+5=123+4+5=12.

Example Calculation

For legs of lengths 3 and 4:

  • Hypotenuse: 32+42=532+42​=5
  • Area: 12×3×4=621​×3×4=6
  • Perimeter: 3+4+5=123+4+5=12

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