Which solution finds the value of x in the triangle below?
2 answers:
Answer:
4
Step-by-step explanation:
Since this is a right triangle, and one of the angles measures 60 degrees, we can conclude that the last side measures 30 degrees.
We can see that this is a 30-60-90 degree triangle.
The rules of 30-60-90 degree triangles are that the side opposite the 90 degree angle, or the hypotenuse can be measured with the variable . The side opposite the 30 degree angle can be measured with
, and the side opposite the 60 degree angle will be measured with
.
We can see that 8 represents because it is the hypotenuse. Since the side marked
is separated by the hypotenuse by an angle of 60 degrees, we note that side marked
is opposite the angle measuring 30 degrees. We note that the side opposite 30 degrees is marked
, and since we already know that 8 is equal to
, we realize that the side marked x is equal to
, or 4.
You might be interested in
Point-slope form is 
where y1 and x1 are your points from the coordinate and m is the slope. So yours would look like this: y-(-4)=-3(x-(-1)) or y + 4 = -3(x + 1)