The three relations among a, b and c are:
- c² = a² + b²
- a² = c² - b²
- b² = c² - a²
We need to show the relationship between the right triangle with side lengths a, b and c units where c is the longest side through Pythagoras' theorem
What is Pythagoras' theorem?
Pytrhagoras' theorem states that in any right angled triangle, the sum of the squares of the other two sides equal the square of the third side called the hypotenuse. This hypotenuse is also the longest side of the triangle.
With right triangle with sides a, b and c where c is the hypotenuse side,
i. The value of c²
Pythagoras' theorem is given mathematically as
c² = a² + b²
ii. The value of a²
The other relation is gotten by making a² subject of the formula.
So, a² = c² - b²
iii. The value of b²
The last relation is gotten by making b² subject of the formula.
So, b² = c² - a²
So, the three relations among a, b and c are:
- c² = a² + b²
- a² = c² - b²
- b² = c² - a²
Learn more about Pythagoras' theorem here:
https://brainly.com/question/654982
