Question

In a 30-30-90 triangle, the hypotenuse is 38, what is the length of the shortest side

Answer 1

AB is shortest side

Explanation:

According to given question circuit represented as,

From the images

`cos 30^0=(BC)/(38) \\0.86=(BC)/(38) \\BC=32.68 cm`

Now,

`sin 30^0=(AB)/(38) \\0.5=(AB)/(38) \\AB=19 cm`

Therefore, AB is shortest side