Question

Check whether the following dimensions will represent the sides of a triangle a)5cm,7cm,9cm. b) 8cm,10cm,18cm​

Answer 1

Answer:

$5 \: cm \: \: \: \: 7 \: cm \: and \: \: \: 9 \: cm \: \: will \: represent \: the \: sides \: of \: a \: triangle. \\ \\ 8 \: cm \: \: \: \: 10 \: \: cm \: \: and \: \: 18 \: cm \: will \: not \: represent \: a \: triangle.$

Step-by-step explanation:

$a) \: \: \: \: \: 5 \: cm \: \: \: \: 7 \: cm \: \: \: \: \: \: 9 \: cm \\ \\ 5 + 7 > 9 \\ \\ 7 + 9 > 5 \\ \\ 5 + 9 > 7 \\ \\ therefore \: \: \: 5 \: cm \: \: \: \: 7 \: cm \: and \: \: \: 9 \: cm \: \: will \: represent \: the \: sides \: of \: a \: triangle. \\ \\ \\ b) \: \: \: \: \: 8 \: cm \: \: \: \: 10cm \: \: \: \: 18 \: cm \\ \\ \\ 8 + 10 = 18 \\ \\ 10 + 18 > 8 \\ \\ 8 + 18 > 10 \\ \\ hence \: 8 \: cm \: \: \: \: 10 \: \: cm \: \: and \: \: 18 \: cm \: will \: not \: represent \: a \: triangle.$

Answer 2

Answer:

a, a triangle can be formed

b, a triangle can't be formed

Step-by-step explanation:

a,5+7<9(yes

7+9<5(yes

5+9<7(yes

8+100. <18(no

18+10<8(yes

18+8<10(