Geometry & MeasuresStudy Notes

Worked Example: Finding the Hypotenuse

Part of Pythagoras' Theorem — GCSE Mathematics

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 3 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 3 of 3

Practice

17 questions

Recall

3 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

Answer: 5 cm

Practice Questions for Pythagoras' Theorem

In a right-angled triangle with legs a and b and hypotenuse c, which formula is Pythagoras' theorem?

A. a + b = c
B. a² + b² = c²
C. a² − b² = c²
D. a × b = c²

1 markfoundation

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.

2 marksstandard

Worked Example: Finding the Hypotenuse

Worked Example: Finding the Hypotenuse

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Practice Questions for Pythagoras' Theorem

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