9514 1404 393
Answer:
Step-by-step explanation:
You can answer this directly from your knowledge that the lengths (3, 4, 5) form a right triangle.
If you study Pythagorean triples, you find that for an odd-length short side, the other two sides can be consecutive integers whose sum is the square of the short side. (You can see that in the solution below.) Here are a few examples:
short side 3: Other sides are 4, 5. 4+5 = 9 = 3^2
short side 5: Other sides are 12, 13. 12+13 = 25 = 5^2
short side 13: Other sides are 84, 85. 84+85 = 169 = 13^2
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Or, you can solve this making use of the Pythagorean theorem. The sum of the squares of the two sides is the square of the hypotenuse. If x is the second side, then ...
3² +x² = (x +1)²
3² = 2x +1 . . . . . expand the right side and subtract x²
x = (3² -1)/2 = 4
x+1 = 5
The second side is 4 m; the third side is 5 m.
