Question

The longer leg of a 30-60-90 triangle measure

Answer 1

The sides of a 30-60-90 triangle are defined by x, 2x, and
`x √(3)`, where 2x is the longest side and x is the shortest.

The problem tells us that the longest side is
`√(75)` (which is equal to 2x). We can write an equation to find x.

2x=
`√(75)`
Divide both sides by 2
2x/2=
`√(75)/2`
x=
`( √(75) )/(2)`

:)