Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

The perimeter of a triangle is 74 cm. The longest side is 8 cm less than the sum of the other two sides. Twice the shortest side is 5 cm less than the longest side. Find the length of each side of the triangle.

Sagot :

sqdancefan

Answer:

  14 cm, 27 cm, 33 cm

Step-by-step explanation:

You want the three sides of a triangle such that their sum is 74 cm, the longest is 8 cm less than the sum of the other two, and twice the shortest is 5 cm less than the longest.

Setup

Let a, b, c represent the lengths of the sides in order from shortest to longest. The given relations are ...

  a + b + c = 74

  c = a + b -8

  2a = c - 5

Solution

Adding 8 to the second equation and using that to substitute for (a+b) in the first, we have ...

  c +8 = a +b
  (c +8) +c = 74
  2c = 66 . . . . . . . . . subtract 8
  c = 33 . . . . . . . . . . divide by 2

Using this in the third equation, we have ...

  2a = 33 -5
  a = 28/2 = 14 . . . . . . divide by 2

Either of the first two equations can be used to find b.

  14 +b +33 = 74
  b = 74 -47 = 27

The lengths of the sides of the triangle are 14 cm, 27 cm, and 33 cm.

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.