MATH CALCULATOR
Isosceles Right Triangle Hypotenuse Calculator
Calculate the hypotenuse of an isosceles right triangle easily with our online calculator.
What is the Isosceles Right Triangle Hypotenuse Calculator & How does it work?
An isosceles right triangle is a special type of right triangle where two sides are equal in length. In such triangles, the angles opposite these equal sides are also equal and measure 45 degrees each.
The hypotenuse (the longest side) can be calculated using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). For an isosceles right triangle where both legs are of length ‘a’, the formula simplifies to:
The hypotenuse (the longest side) can be calculated using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). For an isosceles right triangle where both legs are of length ‘a’, the formula simplifies to:
c = a sqrt{2}
c = hypotenuse, a = length of each leg
Parameters
Hypotenuse—
Frequently Asked Questions
How do I find the hypotenuse of an isosceles right triangle?
Use the formula c = a√2, where 'c' is the hypotenuse and 'a' is the length of one leg.
What are the angles in an isosceles right triangle?
An isosceles right triangle has two 45-degree angles and one 90-degree angle.
Can I use this calculator for any type of triangle?
No, this calculator is specifically for isosceles right triangles where the two legs are equal in length.
How do I input the leg lengths into the calculator?
Enter the length of one leg since both legs are equal in an isosceles right triangle.
What is the Pythagorean theorem used for?
The Pythagorean theorem is used to find the length of the hypotenuse in a right triangle when the lengths of the other two sides are known.
Why is it called an 'isosceles' right triangle?
It's called 'isosceles' because it has two equal sides (legs) and 'right' because it has a 90-degree angle.
Can I use this calculator if I only know the hypotenuse?
No, this calculator is designed to find the hypotenuse when you know the leg lengths. If you have the hypotenuse and need the legs, rearrange the formula: a = c/√2.
Results are for informational purposes only and do not constitute professional advice.