Answer:
√65,√65 and √129
Step-by-step explanation:
To find the measure of each side of a triangle, we use the distance formula to get it.
The distance Formula is given as:
Distance between two points = √[x2-x1]² + [y2-y1]²
A= (-1, 5), B=(6,1), C=(2,-6)
Going by the distance formula:
Distance AB is given as:
AB= √[6-(-1)]² + [1-5]²
AB= √49 + 16 = √65
Distance BC is given as:
BC= √[2-6]² + [-6-1]²
BC= √16 + 49 = √65
Distance AC ia given as:
AC= √[2-(-1)]² + [-6-5]²
AC= √3² + 11² = √129
Since two sides are equal, the triangle in question is an isosceles triangle.
