Step-by-step explanation:
If [tex]H[/tex] is the length of the hypotenuse and if [tex]\alpha[/tex] is a non-right angle in the right angled triangle,
the two other sides are [tex]Hcos\alpha[/tex] and [tex]HSin\alpha[/tex]
Given that [tex]H=17[/tex]
[tex]\alpha =30^{0}[/tex]
The two sides are [tex]17cos30[/tex][tex]=14.72[/tex] and [tex]17sin30[/tex][tex]=8.5[/tex]
So,the shortest side in the triangle is [tex]8.5[/tex]
