Question

In a triangle, the longest side is double the shortest
side and the third side is 3cm less than the longest
side. If the perimeter of the triangle is 57 cm, find
all sides of the triongle.
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Answer 1

Answer:

12, 21, 24

Step-by-step explanation:

L = 2S

Third Side = L-3 = 2S-3

2S+(2S-3)+S=57

5S=60

S=12

Sides, 12, 21, 24

Answer 2

Answer:

let the shortest side be x

then longest side is 2x

the third side is three less than longest so it is 2x-3.

perimeter of triangle = 57

2x-3+2x+x = 57

5x-3 = 57

5x = 57+3

5x = 60

x = 12

so shortest side is 12cm

longest is 2*12 = 24

third side = 24-3 = 21

hope it helps you