Pythagoras!

b

a

c

c2 = a2 + b2

c must be the hypotenuse - the longest side in a right angle triangle (opposite the right angle), and a and b are the two shorter sides

5.2 cm

8 cm

x

c2 = a2 + b2

x2 = 82 + 5.22

x2 = 64 + 27.04x2 = 91.04

x = √91.04

x = 9.541488354

x = 9.5 to 1 d.p.

5 cmx

13 cmx

3 cm

4 cm

x

5 cm

12 cm

x

7.8 cm (1 dp)x

5 cm

6 cm

x

15 cm11 cm

x

c2 = a2 + b2

152 = 112 + x2

225 = 121 + x2

x2 = 225 – 121

x = √104

x = 10.19803903x = 10.2 to 1 d.p.

x2 = 104

6.3 m (1 dp)x

21.1 cm (1 dp)x

x m

9 m

11m

11 cm

x cm

23.8 cm

7.9 cm (1 dp)x 7.1 cm

x cm

3.4 cm

HB

L

15 miles

6.4 miles

Total distance travelled = 21.4 + 16.4 = 37.7 miles

HB

L

15 miles

6.4 miles

12 ft

9.5 ft

L

12 ft

9.5 ft

L

7.3L ft

Exam Question

Exam Question

230

Exam Question

13.7