Question

(d) Which of the following can be the third side of a triangle whose two sides
are 7 cm and 9 cm respectively?
(i) 16 cm
(ii) 18 cm
(iii) 14 cm
(iv) 17 cm​

Answer 1

Answer:

answer is 16 respectively because if you will reduce it by sum 16 will come

Step-by-step explanation:

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Answer 2

$\LARGE\tt\underline{Ąñswér}$

$\Large\fbox\green{14\:cm\:is\:the\:answer}$

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$\LARGE\tt\underline{Explánatíøn}$

• To, Find first we want to know that the sum of the first 2 sides must be greater than the third side.
• So, Now we can check each of the option.

(¡) 16 cm

$\rightarrow$ 7 + 9 = 16

$\rightarrow$ 16 = 16

$\rightarrow$ Before trying any other steps we can say that the first option is wrong as you can see the sum of the 2 side is equal to the other side.

(¡¡) 18 cm

$\rightarrow$ 7 + 9

$\rightarrow$ 16 < 18

$\rightarrow$ Now, Here in this case also the triangle will not be formed because 18 is greater than the sum of the other sides.

(¡¡¡) 14 cm

$\rightarrow$ 7 + 9

$\rightarrow$ 16 > 14

$\rightarrow$ 7 + 14 [As we want to check because the first one is positive to us.]

$\rightarrow$ 21 > 9

$\rightarrow$ 9 + 14

$\rightarrow$ 23

$\rightarrow$ Here, The triangle can be formed because the sum of the 2 sides is greater than the other side.

(iv) 17 cm

$\rightarrow$ 7 + 9

$\rightarrow$ 16 < 17

$\rightarrow$ Here the triangle cannot be formed.