Question

Drag the points A and B so that the length AB is equal to √65.

a) 8, 1
b) 7, 6
c) 10, 3
d) 9, 4

Answer 1

To find points A and B such that the length AB is √65, we calculate the distance between each pair of points and choose the pair where the distance is √65. In this case, the points (8, 1) and C. (10, 3) make the length AB √65.

Step-by-step explanation:

To find the points A and B such that the length AB is equal to √65, we need to find two points whose distance is equal to the square root of 65.

Looking at the options given, we calculate the distance between each pair of points AB:
a) Distance between (8, 1) and (7, 6) = √[(7-8)² + (6-1)²] = √65
b) Distance between (8, 1) and (10, 3) = √[(10-8)² + (3-1)²] = √65
c) Distance between (8, 1) and (9, 4) = √[(9-8)² + (4-1)²] = √65
d) Distance between (7, 6) and (10, 3) = √[(10-7)² + (3-6)²] = √65

So, the points A and B that make the length AB equal to √65 are (8, 1) and (10, 3), option c).