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.

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

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.

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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,

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.

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Filter Filters. Includes reasoning and applied questions. It is mandatory to procure user consent prior to running these cookies on your website. Label the sides of the triangle. Question 4. Find x and give your answer to 2 significant figures:. Pythagoras theorem examples. Calculate the distance between -4, -1 and 3, 4. Make sure you give your final answer in the correct form including units where appropriate. The next lessons are Trigonometry Circle theorems Pyramid. MME Revision Challenge. Give your answer to 1 decimal place:. 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. Weekly online one to one GCSE maths revision lessons delivered by expert maths tutors.

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Your personal data will be used to support your experience throughout this website, to manage access to your account, and for other purposes described in our privacy policy. The hypotenuse is always the longest side of the triangle and can be found opposite the right angle. Question 5. At the same time the Egyptians were using the theorem to help them with right angles when building structures. Common misconceptions Make sure you identify the hypotenuse It is very important to make sure that the hypotenuse is correctly identified and labelled c. Report a Question Question:. Question A frame is made from wire The frame is in the shape of a rectangle 10 cm by 15 cm. This topic is relevant for:. Question 2: Work out the distance between the two points -6, 2 and 4, 5. Give your answer to 1 decimal place:. Give a reason for you answer:. Pythagoras theorem can also be applied to other shapes An application of Pythagoras theorem is to extend it to work on other shapes such as a trapezium. Question 5: A builder places a 2.