SOLUTION: The perimeter of a triangle is 69 cm. Side a is 5 cm shorter than side b. Side c is twice as long as side a. Find the length of each side.
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Question 774079: The perimeter of a triangle is 69 cm. Side a is 5 cm shorter than side b. Side c is twice as long as side a. Find the length of each side. Answer by DrBeeee(684) (Show Source):
You can put this solution on YOUR website! Let the sides be a, b and c. the problem statement gives us the three necessary equations
(1) a + b + c = 69 and
(2) b = a + 5 and
(3) c = 2*a
Put (2) and (3) into (1) to get
(4) a + a + 5 + 2*a = 69 or
(5) 4*a = 64 or
(6) a = 16
Then from (2) we get
(7) b = 21 and (3) gives us
(8) c = 32
Check these values with (1).
Is (16 + 21 + 32 = 69)?
Is (69 = 69)? Yes
Answer: The three sides are 16, 21 and 32 cm.
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