a To compute the perimeter, we need to know the last side as well. By adding a segment to the diagram, we can create a right triangle where both legs are known.
Now, we can find the hypotenuse of the right triangle by substituting the length of its two legs into the Pythagorean Theorem.
When we know the last side, we can calculate the perimeter.
b Examining the right triangle, we see that an angle and it's adjacent side are known. Since we want to find the opposite side of the angle, we must use the tangent ratio.
c Examining the diagram, we see that the hypotenuse and adjacent side to the angle labeled x are known. This means we have to use the cosine ratio to determine x.
d Let's illustrate this situation in a diagram. We will call the height of the kite h.
In the right triangle, an angle and hypotenuse are known. Since we want to determine the angle's opposite side, we have to use the sine ratio to solve for h.
