This key facts covers The Formula within Pythagoras' Theorem for GCSE Mathematics. Revise Pythagoras' Theorem in Geometry & Measures for GCSE Mathematics with 17 exam-style questions and 3 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 2 of 4 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.
The Formula
Where c is the hypotenuse (the longest side, opposite the right angle)
To find the hypotenuse: c = √(a² + b²)
To find a shorter side: a = √(c² - b²)
Practice questions for Pythagoras' Theorem
In a right-angled triangle with legs a and b and hypotenuse c, which formula is Pythagoras' theorem?
A triangle has sides of length 5 cm, 12 cm, and 13 cm. Explain how you can tell, without measuring any angles, whether this triangle contains a right angle.