← Lesson📄 Worksheet✅ Memo📝 Exam test🗝️ Marking guide
∑ DANEMATHICS
FREE CAPS MATHS RESOURCES
Grade 9 · Geometry
Pythagoras' Theorem: Finding the Missing Side
MEMORANDUM
Name: 
Class: 
Date: 
Mark
  / 8

Answer all questions. Show all your working — marks are awarded for method as well as the final answer. Teacher copy: accept any correct equivalent method.

  1. 1
    A right triangle has legs 6 and 8. Find the hypotenuse.
    (2)
    6 8 ?
    c2 = 36 + 64 = 100 → c = 10✓✓ (2)
  2. 2
    Legs of 5 and 12 — find the hypotenuse.
    (2)
    512?
    c2 = 25 + 144 = 169 → c = 13✓✓ (2)
  3. 3
    Hypotenuse 10, one leg 6. Find the other leg.
    (2)
    6?10
    b2 = 100 − 36 = 64 → b = 8✓✓ (2)
  4. 4
    Is a triangle with sides 3, 4, 6 right-angled?
    (2)
    117,3°643
    32 + 42 = 25 but 62 = 36 — not equal, so no✓✓ (2)
TOTAL: 8 marks
© Danemathics — free to print and share for classroom use.danemathics.com

Printing this sheet

  1. In the print dialog open More settings and untick “Headers and footers” — that is what prints the date, time and web address in the margin.
  2. Leave Pages per sheet on 1 so learners keep the full writing space.
  3. Choose Save as PDF as the destination to download it instead of printing.