Question

Find a when c=38 please help this is geometry

Answer 1

Since we have a right angle triangle, we can use a trigonometric ratio to help us solve for an unknown side.

Given that c = 38, we need to solve for a.
Since c is the hypotenuse, we can choose to use the sine or cosine ratio.

Let's use the sine ratio; that means our angle of interest is 60°

So,
`sin(60) = (a)/(c)`
Now, sin(60) is an exact value, and you should try to remember that sin(60) can also be rewritten as
`(√(3))/(2)`

So, to find a,
`c \cdot sin(60) = 38 \cdot (√(3))/(2)`

`a = 19√(2)`