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.
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