The perimeter of a triangle is 53 in. The shortest side is 10 in. less than the longest side. The middle side is 19 in. less tha
n the combined lengths of the
shortest and longest sides. Find the lengths of the three sides.
1 answer:
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Answer:
- shortest: 13 in
- middle: 17 in
- longest: 23 in
Step-by-step explanation:
Let s represent the shortest side. Then the longest side is (s+10) and the middle side is (s+(s+10)-19). The perimeter is the sum of the sides.
s + (2s-9) +(s+10) = 53
4s +1 = 53
s = (53 -1)/4 = 13
The side lengths are ...
- shortest: 13 in
- middle: 17 in
- longest: 23 in
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