Question

Need help finding n forgot how to do this

Answer 1

n = 3√2

Explanation:

A 30-60-90 triangle is a special type of triangle as the measures of the sides are x, x√3, and 2x

i.e. the hypotenuse is twice the length of the shorter leg, and the length of the longer leg is √3 times the length of the shorter leg.

We have been given the length of the hypotenuse, so we can find the value of x:

⇒ 2x = 6√2

⇒ x = 3√2

We want to find the length of the shorter leg:

⇒ x = n

⇒ 3√2 = n

Answer 2

`n = 3√(2)`

There are two best ways to solve this.

using cosine method:

`cos(n) = (adjacent)/(hypotenuse)`

`cos(60) = (adjacent)/(6√(2) )`

`adjacent,n = cos(60) * 6√(2)`

`n = 3√(2)`

using sine method:

`sin(n) = (opposite)/(hypotenuse)`

`sin(30)= (n)/(6√(2) )`

`n = sin(30) * 6√(2)`

`n = 3√(2)`

There are many ways, not to make it complex, these are the best ways to solve for n. Hope it helps ~