A right triangle’s hypotenuse is 20 cm long. What is the length of the side opposite a 60° angle? Give your answer to the nearest tenth of a centimeter.
40
18.5
20
17.3

Question

A right triangle’s hypotenuse is 20 cm long. What is the length of the side opposite a 60° angle? Give your answer to the nearest tenth of a centimeter.
40
18.5
20
17.3

anonymous · Answer

given this is a 30-60-90 triangle, the short side (opposite the 30) is always half the hyp, so 20/2 = 10 cm. Once you get this, simply apply pythagorus' formula :
sqrt(20^2 - 10^2) = b
sqrt300 = b
And I don't have a calculator for this last step

anonymous · Answer

ohk thanks

jhonyy9 · Answer

of you can ising sin 60 = opposite side / hypotenuse 
- you know sin 60 =(sqrt3)/2 
- so hence from these you can calcule the lenght of opposite side 
- so what will be :

lenght of opposite side = ((sqrt3)/2) * 20 = 1,73 *10 = 17,3