If the point A(a,2) is equidistant from the points B(8,-2) andC(2,-2),find the value of a

If the point A(a,2) is equidistant from the points B(8,-2) andC(2,-2),

1.	If the point A(a,2) is equidistant from the points B(8,-2) andC(2,-2),find the value of a
Answer» we have that:AB = ACsoAB² = AC²then:(a-8)² + (2 + 2)² = (a-2)² + (2+2)²a²- 16a + 64 +16 = a²- 4a + 4 +16-16a + 64 = -4a + 4-16a + 4a =4 - 64-12a = -60;12a = 60;a = 60/12 = 5;a = 5The value of a is 5.\xa0