Chapter 12.2, Problem 3C

To determine

To fill : The blank spaces to complete the given statement.

Answer to Problem 3C

The appropriate terms for the blank spaces are “perpendiculars on the sides” and “altitude of the triangle”.

Explanation of Solution

Given information : The given statement is “From any point inside an equilateral triangle, the sum of the ___ equals the ___”.

Let consider a point inside an equilateral triangle.

  

For the above triangle $x+y+z=h$ .

So, it can be stated that the sum of perpendicular distances x , y , z is equal to the length of altitude of the triangle h .

Therefore, from any point inside an equilateral triangle, the sum of perpendiculars on the sides is equal to the altitude of the triangle.