If two sides of a triangle are 24 and 43 inches long, what's the range of possible lengths for the third side?

Answer 1

Third side c must satisfy triangle inequality: 43 - 24 < c < 43 + 24;

So, 19 < C < 67

Answer 2

If the angle between the two named sides is acute (<90) the third side minimally must be >19. (43-24) If obtuse angle, the largest would be (24+43) or 67. These, however, represent the extremes (aka, the triangle would be flat). So the range of the third side must be between 19 and 67