<u>Given:</u>
The radius of the circle XY is XY = 11.4 in
The length of ZY is 15.2 in
The length of XZ is 19.6 in
We need to determine whether YZ is a tangent to the circle X.
<u>Is YZ tangent to the circle X:</u>
We shall determine whether YZ is a tangent to the circle X by using the Pythagorean theorem.
Thus, we have;
Substituting the values, we have;
Simplifying, we get;
Since, both sides of the equation are not equal, thus, YZ is not a tangent to the circle X.
Perimeter of the triangle ABC is 18.7 units.
Coordinate of the point A is (4, -1), B is (-1, 4) and C is (0, -3).
Length of the side AB =
AB =
AB = 7.07 units = 7.1 units ( rounded to the nearest 10th)
Length of the side BC =
BC =
BC =
BC = 7.07 units = 7.1 units ( rounded to the nearest 10th)
Length of the side CA =
CA =
CA =
CA = 4.47 units = 4.5 ( rounded to the nearest 10th)
Perimeter of the triangle ABC = sum of all three sides = (7.1 + 7.1 + 4.5) units = 18.7 units