Question

Points upper D upper C upper E are connected with straight horizontal line, with upper D at the left, upper C at the center, and upper E at the right. Upward diagonal line upper A upper C upper B is drawn from the lower left to the upper right, intersecting the first line at point upper C. Points upper A upper D upper C and points upper B upper C upper E are joined to form two right triangles. Right angled symbols are shown at angle upper A upper D upper C, and also at angle upper C upper E upper B. In triangle upper A upper D upper C, the left perpendicular side upper A upper D is labeled as 5. The top horizontal side is upper D upper C and the hypotenuse is upper A upper C. In triangle upper B upper C upper E, the base upper C upper E is labeled as 12, the right perpendicular side is upper B upper E and the hypotenuse is upper C upper B.


If C
is the midpoint of AB¯¯¯¯¯¯¯¯
and DE¯¯¯¯¯¯¯¯
, what is the length of AB¯¯¯¯¯¯¯¯
?

(1 point)
Responses

26
26

24
24

17
17

13

Answer 1

26

Since C is the midpoint, AC = CB. Triangle ADC has legs 5 and 12, so AC = sqrt(5^2 + 12^2) = 13. Thus AB = 2·13 = 26.