Question

Use the image to answer the question.

Two boats are drawn on a 14 by 15 grid. A small boat on the left is labeled A, and a bigger boat to the right is labeled B.
▶Click for Long Desc

Given that AB¯¯¯¯¯¯¯¯ =9
units in length and BC¯¯¯¯¯¯¯¯=12
units in length, how many units is CE¯¯¯¯¯¯¯¯
?

(1 point)
Responses

21
21

24
24

15
15

6

Answer 1

15

Since AB = 9 and BC = 12 form the legs of a right triangle on the grid, CE is the hypotenuse:
CE = sqrt(9^2 + 12^2) = sqrt(81 + 144) = sqrt(225) = 15.