Pythagoras theorem questions gcse

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, pythagoras theorem questions gcse. Side c is known as the hypotenusewhich is the longest side of a right-angled triangle and is opposite the right angle.

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:.

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.

Pythagoras theorem worksheet. Question 7.

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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. We can see that when we square the lengths of the two shorter sides of a right angled triangle and add them together, we get the square of the longest side. There are other Pythagorean triples such as 5, 12, 13 and 8, 15, See also: 3D Pythagoras.

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.

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We will label the short side we are trying to find as side a. To be safe to use, the base of this ladder must be 1. Give your answer to 1 dp. Learning checklist. This topic is relevant for:. 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. We can see that three squares have been drawn next to each of the sides of the triangle. Pythagoras theorem only works with right-angled triangles. You've had your free 15 questions for today. 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. An application of Pythagoras theorem is to extend it to work on other shapes such as a trapezium. The sides of the triangles do not fit with Pythagoras theorem. Common misconceptions. Or take a look around the website and start at our Home page.

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Find side x. Write down the formula and apply the numbers. Weekly online one to one GCSE maths revision lessons delivered by expert maths tutors. Necessary cookies are absolutely essential for the website to function properly. Exam Questions Mark Scheme. By clicking continue and using our website you are consenting to our use of cookies in accordance with our Cookie Policy. You must be logged in to vote for this question. Log In. You're enjoying learning by quizzing You've had your free 15 questions for today. Work out the answer. 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. What is Pythagoras theorem?