SOLUTION: If two sides of a triangle are 12 cm and 8 cm long, which of the following cannot be the perimeter of this triangle? A) 38 cm (B) 36 cm (C) 34 cm (D) 28 cm (E) 24 cm

Algebra ->  Formulas -> SOLUTION: If two sides of a triangle are 12 cm and 8 cm long, which of the following cannot be the perimeter of this triangle? A) 38 cm (B) 36 cm (C) 34 cm (D) 28 cm (E) 24 cm       Log On


   

Question 136839: If two sides of a triangle are 12 cm and 8 cm long, which of the following cannot be the perimeter of this triangle?
A) 38 cm
(B) 36 cm
(C) 34 cm
(D) 28 cm
(E) 24 cm

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
12+8=20CM THEREFORE ALL PERIMETERS BETWEEN 24.00000001 & 39.999999 ARE POSSIBLE.
THUS THE ANSER IS E)24. CANNOT BE THE THIRD SIDE BECAUSE:
12+8+4=24 WHICH SAYS YOU HAVE 2 SIDES = 12 & 8+4=12 WHICH WOULD BE 2 EQUAL LINES ORGO THIS IS NOT A TRIANGLE.
PROOF: SKETCH THE TRIANGLE(?).