Question

Find the value of x in the triangle shown below.

X= ?

Can anyone help me on this please.​

Answer 1

60.77054139≈x. I don't know what decimal place you need to round it to though

Explanation:

We can apply the Law of Sines to this situation.

The Law of Sine states that sinA/a=sinB/b=sinC/c

Thus, we can get the equation

sin(56)/5.7=sin(x)/6

Multiplying both sides by 6, we get

6sin(56)/5.7=sin(x)

Simplifying the left side, we get

0.872671129...=sin(x)

Lastly, multiplying the inverse of sine to both sides, we get

sin^-1(0.872671129...)=sin^-1*sin(x)

60.77054139≈x

Answer 2

62

Explanation:

Again, sorry for responding late. I dont get notifications for comments.

Since this is an isosceles triangle. So x, and the other angle are both base angles. This means x and the other unnamed angle are the same, and 56 is the vertex angle. Look at the attached photo.

Since all angles in a triangle add up to 180, we can solve for x.

2x + 56 = 180

x = 62