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

Answer 1

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<X<62