## How do you solve the Pythagorean theorem problem?

Applying the Pythagorean theorem (examples)

1. Find the value of x.
2. The side opposite the right angle is the side labelled x.
3. x=√100=10.
4. Maybe you remember that in an equation like this, x could also be –10, since –10 squared is also 100.
5. Find the value of y.
6. y=√80=√16×5=4√5.
7. x=√17.45≈4.18 miles.

Where do we use Pythagoras Theorem in real life?

Real Life Application of the Pythagoras Theorem

• The Pythagorean Theorem is useful for two-dimensional navigation.
• Painting on a Wall: Painters use ladders to paint on high buildings and often use the help of Pythagoras’ theorem to complete their work.

What does Pythagoras theorem find?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

### How do you solve A2 B2 C2?

The formula is A2 + B2 = C2, this is as simple as one leg of a triangle squared plus another leg of a triangle squared equals the hypotenuse squared.

What is the conclusion of Pythagoras Theorem?

A right-angled triangle can be identified given the length of the longest side squared is equal to the sum of the other two sides squared. The length of any side of a right-angled triangle can be determined given the length of any two sides.

Which equation is equivalent to a2 b2 c2?

Introduction: Pythagorean Theorem The formula is A2 + B2 = C2, this is as simple as one leg of a triangle squared plus another leg of a triangle squared equals the hypotenuse squared.

## What is the formula of a2 b2 c2?

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

What is Pythagoras theorem in simple words?

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.

What is the Pythagorean theorem used for right triangles?

The Pythagorean theorem states that in any right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the legs of the right triangle. This same relationship is often used in the construction industry and is referred to as the 3-4-5 Rule.

### What are the applications of Pythagoras Theorem?

The Pythagorean Theorem is useful for two-dimensional navigation. You can use it and two lengths to find the shortest distance. … The distances north and west will be the two legs of the triangle, and the shortest line connecting them will be the diagonal. The same principles can be used for air navigation.

How do you apply the Pythagorean theorem?

applying the Pythagorean theorem. To apply the Theorem: – If not already done, dram the right triangle. You will definitely be given two sides, and sketching a right triangle will help you determine which sides are given, and which side you have to find. – Make sure you assign letters to each of the legs, and to the hypotenuse.

What is the purpose of the Pythagorean theorem?

The Pythagorean Theorem is used frequently in construction and surveying. It is the key to finding lengths of sides of objects that can be partitioned into right triangles.

## What are some examples of Pythagorean theorem?

An example of the Pythagorean Theorem is a 3 x 4 x 5 triangle – 3 squared is 9, 4 squared is 16, and 5 squared is 25.

https://www.youtube.com/watch?v=B0G35RkmwSw

How do you solve the Pythagorean theorem problem? Applying the Pythagorean theorem (examples) Find the value of x. The side opposite the right angle is the side labelled x. x=√100=10. Maybe you remember that in an equation like this, x could also be –10, since –10 squared is also 100. Find the value of y.…