5.Martin measured a rectangle and wrote: Width: 9 cm Length: 22 cm Diagonal: 23.8 cm

Could these measurements form a rectangle? Justify your answer.

a²+b²=c²

22²+9²=c²

(22x22)+(9x9)=c²

484cm2+81cm 2=565

√565cm²≠ 566.44

This can't form a rectangle because a and b does not equal c.

7.What is the height of the wheelchair ramp? Give your answer to the nearest tenth of a centimetre.

a²=c²-b²

80²-79²=a²

6400-6241=159

159cm²=a²

√159cm=√a²

12.6cm²=a

The height of the wheelchair ramp is 12.6cm.

13.A cruise ship travels from Port Cassett north at a speed of 34 km/h for 2.5 h. Then it turns 90° and travels west at 30 km/h for 7.3 h. When it reaches Green Sea Island, how far is the ship from Port Cassett? Express your answer to the nearest kilometre.

a²+b²=c² 34x2.5=8.5

219²+8.5²=c² 30x7.3=219

(219x219)+(8.5x8.5)=c2

47961+72.25=48033.25

48033.25km=c²

√48033.25km=√c2

219.16km=c

The ship is 219.16km away from Port Cassett.

Good job Jayvee!! Nice use of color, and nice pictures! great job.

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