Question

The first side of a triangle measures 4 in. less than the second side, the third side is 3 in more than the first side, and the

Answer 1

Answer:

• 5 2/3 inches
• S-1

Step-by-step explanation:

(a) Let x represent the length of the first side. Then the second side is (x+4) and the third side is (x+3). The perimeter is ...

  x + (x+4) +(x+3) = 15

  3x = 8 . . . . collect terms, subtract 7

  x = 2 2/3 . . . . divide by 3

The third side is x+3 = 5 2/3 inches.

__

(b) For this, we are told the second side is S, so we have ...

  S = (x+4)

  x = S -4 . . . . . subtract 4 to solve for x

Using this in our expression (in part (a)) for the third side, we have ...

  third side = (x +3) = (S -4) +3

  third side = S -1