AQA · Mathematics · 8300
GCSE Maths: Pythagoras: distance points
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Pythagoras: distance points (Corbettmaths Video 263), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
5 flashcards · Free to study · No account needed
Study this deck
Preparing your cards…
All questions and answers
Read through the full deck, or practise recalling each answer above.
What theorem is used to calculate the distance between two points on a coordinate plane?
Show answer
The Pythagorean theorem. The horizontal and vertical distances form the legs of a right triangle, and the distance between the points is the hypotenuse.
What is the distance between points (0, 0) and (6, 8)?
Show answer
10. Using the Pythagorean theorem: √(6² + 8²) = √(36 + 64) = √100 = 10.
What is the distance between points (5, 1) and (9, 6)?
Show answer
√41 (approximately 6.4). Using the distance formula: √((9−5)² + (6−1)²) = √(16 + 25) = √41.
Can the distance formula be used when one or both coordinates are negative?
Show answer
Yes. The formula works for all coordinate values because squaring eliminates the sign, making the calculation based on absolute differences.
If the distance between points (1, 2) and (16, p) is 17, what equation can be used to find p?
Show answer
√((16−1)² + (p−2)²) = 17, which simplifies to 225 + (p−2)² = 289, then (p−2)² = 64.
Want to create your own cards? Create a free account. AI generation uses credits.