Question

Urgent Help needed w/ right triangle trig

Answer 1

We know that :

sin 30° = 1/2 = opposite/ hypotenuse.

Given that hypotenuse " c " = 12

Then Length of side opposite to 30 ° = 12/2 = 6

cos 30° = √3/2 = adjacent / hypotenuse.

adjacent = √3 . 12 / 2 = 6√3

Therefore perimeter = 12 + 6 + 6√3 = 18 + 6√3

Answer 2

First, we need to find the other sides. Since 30° is given to us, we can use sine and cosine to figure out the other side.

To find the side opposite to the angle, we use sine, which is opposite/hypotenuse. It is given that the hypotenuse is 12, so therefore:

sin(30°)=x/12

x = 12sin(30) = 6

To find the side adjacent to the angle, we use cosine, which is adjacent/hypotenuse. Since hypotenuse is 12, we get:

cos(30°)=x/12

x = 12cos(30) = (12√3)/2 = 6√3

Therefore, the perimeter of the triangle is 12+6+6√3 = 18+6√3