Pythagorean Theorem
Solution
Sure, I can help with that. The Pythagorean Theorem is a fundamental principle in geometry, discovered by the ancient Greek mathematician Pythagoras. It states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as:
a² + b² = c²
Where: c represents the length of the hypotenuse, a and b represent the lengths of the other two sides.
Here are the steps to use the Pythagorean theorem:
- Square the lengths of both of the shorter sides of the triangle (a and b).
- Add these two values together.
- To find the length of the hypotenuse (c), take the square root of this sum.
If you know the length of the hypotenuse and one of the other sides, you can rearrange the formula to find the length of the unknown side:
c² - a² = b² or c² - b² = a²
Then take the square root of the result to find the length of the unknown side.
Similar Questions
What is the Pythagorean Theorem?
Prove the pythagorean theorem with algebraic manipulation.
Which of the following is the Pythagorean Theorem?A.In a right triangle, the sum of the squares of the leg lengths is equal to the square of the hypotenuse length.B.In an obtuse triangle, the sum of the squares of the leg lengths is equal to the square of the hypotenuse length.C.In an obtuse triangle, the sum of the squares of the leg lengths is less than the square of the hypotenuse length.D.In a right triangle, the sum of the squares of the leg lengths is less than the square of the hypotenuse length.SUBMITarrow_backPREVIOUS
pythagoras' theorem states that in a right angled triangle the area of the square on the hypoteniuse is equal to the sum of the areas of the square on the other two sides . true or false pls explain how to work this out and how to get the amswer in the easiest way possible
The distance formula is derived from the Pythagorean theorem.A.TrueB.False
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.