Question

Special right triangle

Answer 1

s = 5
`√(6)`

Explanation:

using the cosine ratio in the right triangle and the exact value

cos30° =
`(√(3) )/(2)` , then

cos30° =
`(adjacent)/(hypotenuse)` =
`(s)/(10√(2) )` =
`(√(3) )/(2)` ( cross- multiply )

2s = 10
`√(2)` ×
`√(3)` = 10
`√(6)` ( divide both sides by 2 )

s = 5
`√(6)`