Find the range for the measure of the third side of a triangle if the measures of the two sides are 23 meters & 39 meters.

a. 10

Question

Find the range for the measure of the third side of a triangle if the measures of the two sides are 23 meters & 39 meters.

   a. 10 < x < 26   
  b. 16 < x < 62   
  c. 24 < x < 70   
  d. 15 < x < 52

anonymous · Answer

Triangle inequality states sum of any two sides is always greater than the third side so let third side be X -->X+23>39 (i)--> X>16 also X+39>23 (ii) (redundant) also 23+39>X (iii) ---> X<62 so answer option b 16