Question

1. In each of the following cases, check if the measures
given could be the possible sides of a triangle
(a)4 cm, 4 cm, 7 cm
(b) 3 cm, 4 cm, 8 cm
(C), 8 cm, 10 cm, 8 cm
(d) 7 cm, 13 cm, 16 cm
(e)15 cm, 6 cm, 5 cm
(f)12 cm, 8 cm, 25 cm.​

Answer 1

Answer:

b, e, f cannot be the sides of triangle however a, c, d are possible sides of a triangle

Step-by-step explanation:

Sum of any two sides of a triangle must be more than the third side

a) 4+4 >7, 4+7>4, 4+7>4

Thus possible sides of triangle

b) 3+4<8

Triangle cannot be formed

c) 8+8> 10, 8+10>8, 8+10>8

Thus possible sides of triangle

d) 7+13> 16, 7+16> 13, 13+16>7

Thus possible sides of triangle

e) 6+5<15

Triangle cannot be formed

f) 8+12 < 25

Triangle cannot be formed