Pythagoras theorem questions gcse

Supercharge your learning.

Here we will learn about Pythagoras theorem, including how to find sides of a right-angled triangle and how to use Pythagoras theorem to check if a triangle has a right angle or not. Pythagoras theorem states that the square of the longest side of a right angled triangle called the hypotenuse is equal to the sum of the squares of the other two sides. Side c is known as the hypotenuse , which is the longest side of a right-angled triangle and is opposite the right angle. Side a and side b are known as the adjacent sides because they are adjacent next to the right angle. If we know any two sides of a right angled triangle , we can use Pythagoras theorem to work out the length of the third side. We can see that three squares have been drawn next to each of the sides of the triangle. We can see that when we add together the areas of the squares on the two shorter sides we get the area of the square on the longest side.

Pythagoras theorem questions gcse

Magic for Learning and Revision. Of course, it only applies to right-angled triangles, but is a very important theorem. It can also be used in reverse, to check if an angle is 90 o. Pythagoras was more than just a mathematician — he founded a school that studied philosophy and religion, and was head of the Secret Pythagorean Society. The inner circle of members were not allowed personal possessions, had to be vegetarian and follow strict rules. Members of the Society tried to keep it a secret, but a whistleblower revealed the secret, and the Society collapsed. All that because of a number! You've had your free 15 questions for today. For unlimited access to all quizzes, games and more, you'll need to subscribe. To comply with the new e-Privacy directive, we need to ask for your consent - I agree - No thanks - Find out more. Join Us Login. See if you can get full marks in this informative quiz. Question 1. Question 2. Question 3.

Show answer. Side c is known as the hypotenusewhich is the longest side of a right-angled triangle and is opposite the right angle.

.

Here we will learn about Pythagoras theorem, including how to find sides of a right-angled triangle and how to use Pythagoras theorem to check if a triangle has a right angle or not. Pythagoras theorem states that the square of the longest side of a right angled triangle called the hypotenuse is equal to the sum of the squares of the other two sides. Side c is known as the hypotenuse , which is the longest side of a right-angled triangle and is opposite the right angle. Side a and side b are known as the adjacent sides because they are adjacent next to the right angle. If we know any two sides of a right angled triangle , we can use Pythagoras theorem to work out the length of the third side. We can see that three squares have been drawn next to each of the sides of the triangle.

Pythagoras theorem questions gcse

Supercharge your learning. We can use it to determine a missing length when given the two other lengths. The hypotenuse is always the longest side of the triangle and can be found opposite the right angle. Calculate the distance between -4, -1 and 3, 4. First we plot the two points on a pair of axes, draw a line connecting them and then draw a triangle underneath making a note of the lengths of the sides:. Note: The length you are trying to calculate, when finding the length of a line between two points, will always be the hypotenuse. Find length BC. Give your answer to 1 decimal place.

Azerice çaldırmak

Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. Write down the formula and apply the numbers. Join Us Login. Do not round too early If you need to use Pythagoras theorem in a question with multiple steps, do not round until the very end of the question or you will lose accuracy. Pythagoras theorem GCSE questions. Pythagoras theorem only works with right-angled triangles. To be safe to use, the base of this ladder must be 1. Necessary cookies are absolutely essential for the website to function properly. Pythagoras theorem states that the square of the longest side of a right angled triangle called the hypotenuse is equal to the sum of the squares of the other two sides. Learning checklist You have now learned how to: Use Pythagoras theorem to find the length of the longest side of a right-angled triangle — its hypotenuse Use Pythagoras theorem to find the length of one of the shorter sides of a right-angled triangle. Find x and give your answer to 3 significant figures:. Question 3.

.

Next lessons. Pythagoras theorem worksheet. If you wish to subscribe straight away, visit our Join Us page. Or take a look around the website and start at our Home page. Give your answer to 3 significant figures. Example 2: Calculating the Length of a Line Calculate the distance between -4, -1 and 3, 4. Pythagoras theorem is named after a Greek mathematician who lived about years ago, however the ancient Babylonians used this rule about 4 thousand years ago! Confirm Password. You also have the option to opt-out of these cookies. Question 4. An alternative method is to rearrange the formula and put the entire calculation into a calculator. Side c is known as the hypotenuse , which is the longest side of a right-angled triangle and is opposite the right angle.