Is it possible to have a triangle with the sides 3 cm, 6 cm, 7cm?
[2 marks]

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Solution

Since a triangle is possible whose sum of the lengths of any two sides would be greater than the length of third side.
[0.5 marks]

3 cm, 6 cm, 7cm
3 + 6 > 7 Yes
[0.5 marks]

6 + 7 > 3 Yes
[0.5 marks]

3 + 7 > 6 Yes
This triangle is possible.
[0.5 marks]

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Is it possible to have a triangle with the following sides?

(i) 2 cm, 3 cm, 5 cm (ii) 3 cm, 6 cm, 7 cm

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Question 1 (ii)
Is it possible to have a triangle with the following sides?
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