81,389 views
33 votes
33 votes
The perimeter of the triangle is 51 inches. Find the length of the shortest side.

The perimeter of the triangle is 51 inches. Find the length of the shortest side.-example-1
User Neekobus
by
2.8k points

2 Answers

19 votes
19 votes

Solution:

Note that:

  • Sides of triangle: 4x + 11, x + 8, and 3x
  • Perimeter: 51 inches
  • 4x + 11 + x + 8 + 3x = 51

Finding the value of x:

  • 4x + 11 + x + 8 + 3x = 51
  • => 8x + 19 = 51
  • => 8x = 51 - 19
  • => 8x = 32
  • => x = 4

Substituting the value of x to find out the side lengths of the triangle:

  • 4x + 11, x + 8, and 3x
  • => 4(4) + 11, (4) + 8, and 3(4)
  • => 16 + 11, 12, and 12
  • => 27, 12, 12

The smallest side length is 12.

User Svfat
by
3.3k points
22 votes
22 votes

Answer:

12 inch is the smallest side.

Explanation:

4x + 11 + x + 8 + 3x = 51

8x + 19 = 51

8x = 32

x = 4

Find length's:

3(4) = 12 inch

x + 8 = 4 + 8 = 12 inch

4x + 11 = 4(4) + 11 = 27 inch

User Xuzepei
by
2.6k points