Two sides of a triangle are each 5m less than twice the third side. If the perimeter of the triangle is 55 m, find length of its sides.
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Answer:
Step-by-step explanation:
let the length of third side be 'X"
let the length of first and second side be '2X - 5'
Perimeter of triangle = 55m
...perimeter of = first side + second side + third side
... 55 = (2X - 5) + (2X - 5) + X
... 55 = 2X - 5 + 2X - 5 + X
... 55 = 5X - 10
... 55 + 10 = 5X
... 65 = 5X
... 65 / 5 = X
13 = X
Therefore, now,
X = 13
2X - 5 = 2(13) - 5 = 26 - 5 = 21
2X - 5 = 2(13) - 5 = 26 - 5 = 21
Hence, done
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