Answer:
74
Step-by-step explanation:
Given:
AB = 12
AD = 35
All you need to do is to find the hypotenuse of ΔABD. As both triangles occupy the same space within the rectangle they should be the same.
So you know the short length (12)
and the long length (35)
Just use the Pythagorean Theorem to find the hypotenuse.
[tex]12^{2} +35^{2} = 1369[/tex]
[tex]\sqrt{1369} = 37[/tex]
37 is the hypotenuse of ΔABD, now you just have to find AC, which is actually just the same as BD because the two triangles are congruent.
So
(AC + BD)
[tex]37 + 37 = 74[/tex]
There's your answer: 74
