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.

Explain how to use Pythagoras theorem. Close Submit. 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. 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. Find length BC.

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Right-angled triangles Pythagoras theorem only works on right-angle triangles, however we can sometimes calculate the lengths of other triangles by splitting them into right angled triangles. Example 2: finding the length of the hypotenuse finding the length of the longest side Find x and give your answer to 3 significant figures: Label the sides of the triangle. Where next? MME Revision Challenge. Pythagoras Worksheet and Example Questions. Question 5. Pythagoras theorem GCSE questions. Magic for Learning and Revision. We will label the short side we are trying to find as side a. For example, you may need to find the height of a triangle, and then use that height to find its area. Pythagoras Drill Questions. Make sure you give your final answer in the correct form including units where appropriate.

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You must be logged in to vote for this question. Triangle ABC has a perimeter of 19 cm. Give your answer to 1 decimal place:. The frame is in the shape of a rectangle 10 cm by 15 cm. Question 3: PQR is a right-angled triangle. Username or Email Address. Supercharge your learning. Magic for Learning and Revision. Confirm Password. Necessary cookies are absolutely essential for the website to function properly.