A Squared Plus B Squared Equals C Squared Examples

Now we can subtract 36 from both sides of this equation. We ll have a leg squared and then b is always going to be a leg this would be the other leg squared is equal to the hypotenuse squared.

Pythagorean Theorem

A squared plus b squared equals c squared where c is the length of the hypotenuse a squared plus b squared equals c squared where a and b are the length of the other sides.

A squared plus b squared equals c squared examples. So that s why it s always important to recognize that a squared plus b squared plus c squared c is the length of the hypotenuse. A pythagorean triple has three positive integers a b and c such that a 2 b 2 c 2. How to expand the square of a trinomial.

Since a squared plus b squared equals c squared that is the same as c equals the square root of a squared plus b squared. We will illustrate with examples but before proceeding you should know how to find the square. So we get 6 squared is 36 plus b squared is equal to 12 squared this 12 times 12 is 144.

In other words a pythagorean triple represents the lengths of the sides of a right triangle where all three sides have integer lengths. In any right triangle with sides a and b and hypotenuse c then a b c or c is equal to the square root of the quantity a squared plus b squared. The theorem states that the length of the hypotenuse squared is equal to the length of side a squared plus the length of side b squared.

Some well known examples are 3 4 5 and 5 12 13. If a right triangle has sides a 3 and b 4 and hypotenuse c 5 then 3 4 5 and 9 16 25. So let s just solve for b here.

This can be taken into squaring and square roots to infinity and still. When we do our pythagorean theorem which is a squared plus b squared equals c squared. Written as an equation c 2 a 2 b 2 thus given two sides the third side can be found using the formula.

The square of the sum of three or more terms can be determined by the formula of the determination of the square of sum of two terms. Such a triple is commonly written a b c. In the case of this example you could say or really in the case of all examples a is always going to be a leg.

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