Question

A carpenter proposes to make 4 triangular shelves of the following dimensions:

Shelf 1: 8 inches, 14 inches, 19 inches
Shelf 2: 10 inches, 16 inches, 25 inches
Shelf 3: 10 inches, 21 inches, 33 inches
Shelf 4: 7 inches, 20 inches, 30 inches

Which of the above shelf dimensions are not possible?
Answer







Shelf 1 and Shelf 2








Shelf 1 and Shelf 4








Shelf 2 and Shelf 3








Shelf 3 and Shelf 4

Answer 1

I can get the answer by just looking at the lengths of the sides. Hint: The sum of the 2 shorter sides has to be greater than the length of the longest side.

Answer 2

so its between a and b

Answer 3

Look at those numbers again.

Answer 4

ok