One leg of a right triangle has a length of 77 m. the other sides have lengths that are consecutive integers. find these lengths .
1 answer:
Let x and x+1 represent the consecutive integers, then x is the other leg and x+1 is the hypotenuse (because the hypotenuse must be greater than its sides). Use Pythagorean Theorem: a² + b² = c² (77)² + x² = (x+1)² 5929 + x² = x² + 2x + 1 5928 = 2x 2964 = x x+1 = 2965 Answer: The other leg is 2964 m and the hypotenuse is 2965 m
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