ABC is a triangle such that AB = 10 cmand AC = 3 cm. Which of the followingstatements are true?
BC<13 cm
We know that sum of two sides of a traingle is always greater than its third side.
⇒AC+AB>BC
⇒(3+10) cm>BC
⇒BC<13 cm
Also, the difference between its two sides is less than the third side
⇒AB−AC<BC
⇒(10−3) cm<BC
⇒7 cm<BC
⇒BC>7 cm
Thus, 7 cm < BC < 13 cm.