Question

Calculate the length of BC in the right-angled triangular prism below. Give your answer in centimetres (cm) to 2 d.p. 35 cm ​

Answer 1

31.67cm

Explanation:

Let's first find Bf using triangle BEC given that EF=32cm and BE=35cm

let's use the pythagoras theorem to find BF

BE²=BF²+EF²(Pythagoras theorem)

35²=BF+32²

BF²=35²-32² >Find the root of both sides to find BF

`bf = \sqrt{ {35}^(2) - {32}^(2) }`

BF=14.18cm

Now let's use the pythagoras theorem to find BC

BC²=BF²+FC² (Pythagoras theorem)

BC²= 14.18² +28²

`bc = \sqrt{ {14.18}^(2) + {28}^(2) }`

BC= 31.67cm