Question

If the hypotenuse of a 30-60-90 triangle is 17, what is the length of the short side?

Answer 1

Answer:8.5

Explanation:

If
`H` is the length of the hypotenuse and if
`\alpha` is a non-right angle in the right angled triangle,

the two other sides are
`Hcos\alpha` and
`HSin\alpha`

Given that
`H=17`

`\alpha =30^(0)`

The two sides are
`17cos30`
`=14.72` and
`17sin30`
`=8.5`

So,the shortest side in the triangle is
`8.5`