If A = (0, 0) and B = (8, 2), find AB. If necessary, submit your answer as a decimal to the nearest tenth. (Re

Question

If A = (0, 0) and B = (8, 2), find AB. If necessary, submit your answer as a decimal to the nearest tenth. (Remember AB means"the distance between points A and B.")

Answer 1

This would form a right-angled triangle. Assume point C=(8,0). Using Pythagoras' theorom:
(AB)² = (AC)²+(CB)²
(AB)² = (8)²+(2)²
(AB)² = 64+4
AB = 68
AB = √68 = 8.246 = 8.2 [to the nearest tenth]

Answer 2

A is at the origin (0,0) on a Cartesian coordinate system. Therefore, the point B can be thought of as simply a point on a right triangle with side a = 2 in the y direction and b = 8 in the x direction. Thus, from c^2 = a^2 + b^2, the distance between A and B = c = sqrt(a^2 + b^2) = sqrt(4 + 64) = sqrt(68)...you can do the math.

Answer 3

((8-0)^2+(2-0)^2)^1/2
=(64+4)^1/2
=(68)^1/2
=8.246

Answer 4

can't you do your homework by yourself, it isnt hard and you shouldnt need someone to tell you the answer