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Think about triangles that have
a perimeter of 15cm,
two or more equal sides,
and each side a whole number of centimetres.
Prove that there are only four of these triangles. i



Sagot :

Azikennamdiidn

In order to prove that there are only four of these triangles, we need to first   restate the formula for the perimeter of a triangle which is given as:  P = a + b + c. Hence, we must identify all the triangles that have two or more equal sides, and each side is a whole number.

What is the proof?

Step 1 - First, we state all the possible combination three whole numbers which when added together result in fifteen.

The numbers are given as:

  1. 1 1 13
  2. 2 2 11
  3. 3 3 9
  4. 4 4 7
  5. 5 5 5
  6. 6 6 3
  7. 7 7 1

Step 2 -  Eliminate options where a side is more than the sum of the other two sides

Hence,

  • 1 1 13
  • 2 2 11
  • 3 3 9

are eliminated. The remaining triangles are four in number.

QED.

Learn more about triangles at:

https://brainly.com/question/17335144

#SPJ1

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