Pythagorean Triples Calculator
'Pythagorean Triples Calculator' is an online tool that helps to display whether the given inputs are pythagorean triples
What is the Pythagorean Triples Calculator?
Online Pythagorean Triples calculator helps you to calculate the pythagorean triples in a few seconds.
Pythagorean Triples Calculator
NOTE: Enter height, base side, and hypotenuse of the triangle values from 1 to 999 only.
How to Use the Pythagorean Triples Calculator?
Please follow the below steps to display whether the given inputs are Pythagorean triples:
- Step 1: Enter the height of the triangle in the given input box.
- Step 2: Enter the base side of the triangle in the given input box.
- Step 3: Enter the hypotenuse of the triangle in the given input box.
- Step 4: Click on the "Check" button whether the given inputs are Pythagorean triples.
- Step 5: Click on the "Reset" button to check Pythagorean triplets for different values height, base, and hypotenuse values.
How to Find Pythagorean Triples?
Pythagorean triples are defined as a group of three positive whole numbers that completely satisfies the Pythagorean theorem.
Using Pythagorean theorem, (hypotenuse)2 = (base side)2 + (height)2
Solved Examples on Pythagorean Triples Calculator
Example 1:
Given: Height = 3 units, Base Side = 4 units, Hypotenuse = 5 units. Check whether the given inputs values satisfies Pythagorean triplets.
Solution:
Using Pythagorean theorem, (hypotenuse)2 = (base side)2 + (height)2.
(5)2 = (4)2 + (3)2
25 = 16 + 9
25 = 25
Therefore, the given input values 3,4,5 satisfies Pythagorean triplets.
Example 2:
Given: Height = 4 units, Base Side = 5 units, Hypotenuse = 6 units. Check whether the given inputs values satisfies Pythagorean triplets.
Solution:
Using Pythagorean theorem, (hypotenuse)2 = (base side)2 + (height)2.
(6)2 = (5)2 + (4)2
36 = 25 + 16
36 ≠ 41
Therefore, the given input values 4,5,6 does not satisfies Pythagorean triplets.
Example 3:
Given: Height = 6 units, Base Side = 10 units, Hypotenuse = 12 units. Check whether the given inputs values satisfies Pythagorean triplets.
Solution:
Using Pythagorean theorem, (hypotenuse)2 = (base side)2 + (height)2.
(12)2 = (10)2 + (6)2
144 = 100 + 36
144 ≠ 136
Therefore, the given input values 6,10,12 does not satisfies Pythagorean triplets.
Similarly, you can try the pythagorean triples calculator to check the Pythagorean triplets.
a) 5,12,13 b)10,11,13 c) 9,40,41