Question

Which of the following cannot be the measures of a triangle? 
(a) 9 cm, 6 cm, 5 cm
(b) 7 cm, 7 cm, 5 cm
(c) 13 cm, 7 cm, 6 cm
(d) 9.5 cm, 8 cm, 7 cm​

Answer 1

Answer:

We know that the sum of the lengths of any two sides of a triangle is always greater than the length of the third side and the difference of the lengths of any sides is less than the length of the third side. As 5+6<14,5cm,6cmand14cm do not follow the above conditions.

Answer 2

conditions for lengths of triangle

a+b > c

a < b-c

a) 6+5>9, 9-5> 6

b) 5+7>7, 7-5>7

c) 7+6 =13, 13-7 =6

this shows the triangle is collinear I.e. all points of a triangle are on the same line

d) 8+7> 9.5, 9.5-7<8

answer is c