Answer:
Step-by-step explanation:
According to the Pythagorean Theorem, the square of the length of the third side is equal to the sum of the squares of the shorter sides:
|AC|² = (12/13)² + (5/13)²
Thus, |AC|² = (144+25)/169 = 169/169 = 1
The length of the third side is 1.
Next problem: Side lengths are 25, 24 and x. Find x.
According to the Pyth. Thm., 25² = 24² + x².
Then 625 - 576 = x², or
x² = 49. Then x = +7
