# How Do You Solve A2 B2 C2?

October 5, 2022

## What does the letter C stand for in the formula a2 b2 c2?

Pythagorean theorem: a2 + b2 = c2. b. NOTE: The “c” side is always the side opposite the right angle. Side “c” is called the hypotenuse.

## Does a2 b2 c2 work for all triangles?

Pythagorean theorem: If a triangle is a right triangle (has one right angle), then a2+b2=c2. Conversely, if a2+b2=c2 in a triangle with c as the longest side, then a triangle is a right triangle.

## How do I find the missing length of a triangle?

• if leg a is the missing side, then transform the equation to the form if a is on one side and take a square root: a = √(c² – b²)
• if So leg b is unknown. b = √(c² – a²)
• for hypotenuse c is missing, the formula is. c = √(a² + b²)

## What is formula of A² B²?

The formula (a2 + b2) is written as a2 + b2 expressed > = (a +b)2 -2ab.

## How do you work the Pythagorean Theorem backwards?

Pythagorean theorem reversed

The converse of Pythagorean theorem states that if the square of the third side of a triangle is equal to the sum of its two shorter sides, then it must be a right angle triangle. In other words, the inverse of the Pythagorean theorem is the same Pythagorean theorem but turned around.

## What is C in Pythagorean Theorem?

c is equal to the hypotenuse and a and b are the shorter sides (you can choose which you want a or b to be)

## What is a2 b2 c2 identity?

The formula a2 + b2 + c2 is one of the important algebraic identities. It is read as a square plus b square plus c square. Its formula a2 + b2 + c2 is expressed as a2 + b2< /sup> + c2 = (a + b + c)2 – 2(ab + bc + ca).

## What is the Pythagorean Theorem in simple terms?

Definition of the Pythagorean theorem

: a theorem of geometry: the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides.< /p>

## Why is Pythagorean Theorem true?

This theorem applies to this right triangle – the sum of the squares of the lengths of both legs is equal to the square of the length of the hypotenuse. And indeed it is true for all right triangles. The Pythagorean theorem can also be represented in terms of area.

## How do I find the third side of a triangle?

Different ways to find the third side of a triangle

For a right triangle, use the Pythagorean Theorem. For an isosceles triangle, use the area formula for an isosceles triangle. If you know some angles and other side lengths, use the law of cosines or the law of sines.

### References:

2. https://web.gccaz.edu/~johwd63181/MAT142/chapter_2/problems/section%202.1.pdf
4. https://www.expii.com/t/converse-of-pythagorean-theorem-4558
5. https://www.omnicalculator.com/math/right-triangle-side-angle
7. https://www.cuemath.com/a-square-plus-b-square-formula/
8. https://tutorme.com/blog/post/converse-of-the-pythagorean-theorem/