Pythagoras theorem questions gcse

Supercharge your learning. We can use it to determine a missing length when given the two other lengths.

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. Question 2. Question 3.

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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.

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.

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We then construct a right-angled triangle. Question 3: PQR is a right-angled triangle. 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. An application of Pythagoras theorem is to extend it to work on other shapes such as a trapezium. See if you can get full marks in this informative quiz. The adjacent sides, next to the right angle can be labelled a and b either way around as they are interchangeable. Therefore the triangle is a right-angled triangle. Or take a look around the website and start at our Home page. Log In. Pythagoras Theorem 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. ABC is a right-angled triangle.

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Filter by Level. Pythagoras Drill Questions. 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 frame is in the shape of a rectangle 10 cm by 15 cm. An application of Pythagoras theorem is to extend it to work on other shapes such as a trapezium. This category only includes cookies that ensures basic functionalities and security features of the website. How to use Pythagoras theorem In order to use Pythagoras theorem: Label the sides of the triangle. The adjacent sides, next to the right angle can be labelled a and b either way around as they are interchangeable. You've had your free 15 questions for today. Example 1: finding the length of the hypotenuse finding the length of the longest side Example 2: finding the length of the hypotenuse finding the length of the longest side Video: finding a short side Example 3: finding an adjacent side a short side Example 4: finding an adjacent side a short side Example 5: checking if a triangle has a right angle Example 6: checking if a triangle has a right angle. Pythagoras theorem worksheet. Third side is 8 cm and is the longest so it is the hypotenuse. Weekly online one to one GCSE maths revision lessons delivered by expert maths tutors. If the triangle is a right-angled triangle, then Pythagoras theorem should work: It is very important to label the hypotenuse the longest side correctly with c.