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Anestetic [448]
3 years ago
8

1.3.33 Question Help A certain triangle has a perimeter of 3078 mi. The shortest side measures 71 mi less than the middle side,

and the longest side measures 371 mi more than the middle side. Find the lengths of the three sides. The shortest side is mi long.​
Mathematics
1 answer:
maksim [4K]3 years ago
8 0

Answer:

the shortest side is 855 miles long.

Step-by-step explanation:

a + b + c = 3078 miles

a = b - 71

c = b + 371

=>

(b-71) + b + (b+371) = 3078

3b + 300 = 3078

3b = 2778

b = 926 miles

a = 926 - 71 = 855 miles

c = 926 + 371 = 1297 miles

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