This study notes covers Worked Example: Finding the Hypotenuse 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 3 of 4 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Worked Example: Finding the Hypotenuse
Find the hypotenuse of a right-angled triangle with sides 3 cm and 4 cm.
Step 1 Write the formula
a² + b² = c²
Step 2 Substitute and square
3² + 4² = c²
9 + 16 = c²
25 = c²
Step 3 Square root
c = √25 = 5
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.