1. Using the
Pythagoras
Theorem

2. No angles involved in question
Spotting a Pythagoras question
Right angled triangle
62m ?
17m
No angles involved in question

3. Spotting a Pythagoras question
6km
10km ?
4.2m
5.1m ?
26cm
31cm ?
17m ?
480
14m ?
19m

4. Opposite the right angle
Spotting and labelling the hypotenuse
Opposite the right angle
Longest side
Hypotenuse

5. Spotting and labelling the hypotenuseF E J L K M P N A C B

6. What did Pythagoras find ?

7. Hyp2 = a2 + b2 Remembering the Pythagoras theorem The length of the
The lengths of the two
smaller sides squared
and added together
The length of the
hypotenuse squared

8. Calculating the Hypotenuse
Hyp2 = a2 + b2 D F E
45cm
21cm ?
Calculate the size
of DE to 1 d.p.
DE2 =
DE2 =
DE2 = 2466
DE = 2466
DE =
DE = 49.7cm

9. Calculating one of the shorter sides
Hyp2 = a2 + b2 A B C
16m
11m ?
Calculate the size
of AC to 1 d.p.
162 = AC
256 = AC
= AC2
135 = AC2
135 = AC
= AC
AC = 11.6m