Question

Jorge Claims that the distance between his house and the library is 13 miles. His city is placed on a coordinate plane. Jorge's House is at the coordinates (5, 1), the mall is at coordinates (2, 11) and hte Library is at cordinates (10, 13). What equation verifies his claim?

Answer 1

House coordinate = (5, 1)

Library coordinate = (10, 13)

Explanation:

Given :

House coordinate = (5, 1)

Library coordinate = (10, 13)

Distance between house snd library :

Distance = sqrt[(x2 - x1)² + (y2 - y1)]

x1 = 5, x2 = 10, y1 = 1, y2 = 13

Distance = sqrt[(10 - 5)² + (13 - 1)²]

Distance = sqrt[(5² + 12²)]

Distance = sqrt(25 +144)

Distance = sqrt(169)

Distance = 13