Answer:
The possible sides of the triangle may be 3, 4, 5 feet.
Step-by-step explanation:
Let the sides of a triangle are x, y, z. If these sides are enlarged by a factor of 3 then these sides will become 3x, 3y, and 3z.
Now the perimeter of the given triangle will be
P = 3(x + y + z) = 36
So x + y + z = 12
since to form a triangle condition that should be followed is
x + y > z
Therefore by hit and trial method sides of the triangle may be 3, 4, and 5 which we can check by putting the values of the sides in the original equation.
x + y > z ⇒ 3 + 4 > 5 ⇒ 7 > 5
and 3( x + y + z) = 3(3 + 4 + 5) = 3×12 = 36
