If two sides of a triangle are 5 cm and 1.5 cm, the length of its third side cannot be

If two sides of a triangle are 5 cm and 1.5 cm, the length of its third side cannot be

Text Solution

3.6 cm 4.1 cm3.8 cm3.4 cm

Answer : D

Solution : Given, the length of two sides of a triangle are 5 cm and 1.5 cm ,repectively <br> Let sides AB= 5 cm and CA = 1.5 cm <br> We know that , a closed figure fromed by three intersecting lines (or side ) is called a triangle, If difference of two sides `lt` third side and sum of two sides `gt` third side <br> `therefore " " 5-1.5 lt BC "and " 5 + 1.5 gt BC ` <br> `rArr " " 3.5 lt BC " and " 6.5 gt BC ` <br> Here,we see that option ( A) ,(B) and (C ) satisfy the above inequality but option ( d) does not satisfy the above inequality