Below is the equation for the Pythagorean theorem Below is the equation for the Pythagorean theorem. Over the next few pages, you will use this equation to answer some questions. a2 + b2 = c2 c a b

Using the Pythagorean theorem, it is possible, knowing the length of sides a and b, to figure out the length of side c. 5 cm 6 cm c Step 1: a = 5 b = 6 c = x Step 2: a2 + b2 = c2 52 + 62 = x2 25 + 36 = x2 61 = x2

Using the Pythagorean theorem (a2 + b2 = c2) it is possible to work out the length of side c. 5 cm 6 cm 7.81 cm Step 3 61 = x2 √61 = x 7.81 = x x = c =7.81 cm

Find the length of the missing side in these examples 1. 2. ___ cm ___ cm 2 cm 2 cm 6 cm 2 cm Click here for the answer

3. 4. ___ cm 3 cm 4 cm ___ cm 5 cm 1 cm 5. 6. ___ cm 1 cm ___ cm 2 cm 1 cm 6 cm Click here for the answer

___ cm 3. 4. 2 cm 7 cm 4 cm 5 cm ___ cm 5. 6. 6 cm ___ cm 2 cm 1 cm 1 cm ___ cm Click here for the answer

8 cm 7. 3 cm ___ cm 8. 4 cm ____ cm 5 cm Click here for the answer

Click here for the answer 9. 5 cm 5 cm ___ cm 2 cm 10. 6 cm 4 cm ___ cm

The following pages are answers to the tasks in the lesson activity.

1. 2 cm 2. 6 cm 2.83 cm 6.32 cm Click here to go back

3. 4 cm 1 cm 4. 3 cm 5 cm 4.12 cm 5.83 cm 5. 6. 2 cm 6 cm 1.41 cm 6.32 cm Click here to go back

4.58 cm 3. 4. 2 cm 7 cm 4 cm 5 cm 5.74 cm 5. 6. 6 cm 1.12 cm 2 cm 1.5 cm 1 cm 5.66 cm Click here to go back

7. 8. 3 cm 9.43 cm 8 cm 4 cm 5 cm 5.39 cm Click here to go back

Click here 9. to go back 5 cm 5 cm 7.07 cm 2 cm 10. 6 cm 4 cm 8.72 cm Click here to see the solution to question 10.

Step 1 This line must equal 2 cm because the line above it equals 2cm and it is a square. Step 2 You can then use Pythagoras theory to work out the length of this line. 22 + x2 = 42 x2 = 16 - 4 = 12 x = 3.46 10. 2 cm 6 cm 4 cm ___ cm

This line must equal 8 cm (6cm plus 2 cm). Step 3 This line must equal 8 cm (6cm plus 2 cm). Step 4 Use Pythagoras theory to work out the length of the diagonal: 3.462 + 82 = x2 76 = x2 x = √76 = 8.71 cm 10. 2 cm 6 cm 4 cm ___ cm 3.46 cm