Question

In the right-angled triangle abc,ac is the hypotenuse with length 8cm, and ab=6 cm.

Work out the length of bc, giving your answer as a simplified surd.

Answer 1

Explanation:

Hypotenuse = AC = 8 cm

AB = 6 cm

BC² + AB² = AC²

BC² = AC² - AB²

= 8² - 6²

= 64 - 36

= 28

`BC =√(28)=√(2*2*7)=2√(7) = 2*2.6458 =5.2916 = 5.29`

BC = 5.29 cm