Let’s draw the heights of Bh1 and Ch2,
Segment h1h2 = BC = 4,
And the segments Ah1 = Dh2 = (AD – h1h2): 2 = (14 – 4): 2 = 5,
Ah1 = 5,
Now, by the Pythagorean theorem, we find the side of Ch2,
Bh2 = 12,
Let’s find the side of Ah2,
Ah2 = Ah1 = h1h2 = 5 = 4 = 9,
Ah2 = 9,
Now we find the diagonal AC,
Answer: AC = 15.
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