1. Is it possible to draw a triangle, the lengths of whose sides are given below?
(i) 1 cm, 1 cm, 1 cm (ii) 2 cm, 3 cm, 4 cm (iii) 7 cm, 8 cm, 15 cm
(iv) 3.4 cm, 2.1 cm, 5.3 cm (v) 6 cm, 7 cm, 14 cm
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Answer:
1cm,1cm,1cm
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To be the possible sides a triangle , the sum of any two sides should exceed the third side .
(i) 1cm + 1cm > 1cm
=> 1 + 1 > 1
=> 2 > 1
∴ A triangle can be formed .
(ii) 2cm + 3cm > 4cm
=> 2 + 3 > 4
=> 5 > 4
∴ A triangle can be formed .
(iii) 7cm , 8cm , 15cm
=> 7 + 8 ≥ 15
=> 15 ≥ 15
∴ A triangle cannot be formed .
(iv) 3.4cm , 21.cm , 5.3 cm
=> 3.4 + 2.1 > 5.3
=> 5.5 > 5.3
∴ A triangle can be formed .
(v) 6cm , 7 cm , 14 cm
=> 6 + 7 ≯ 14
=> 13 ≯ 14
∴ A triangle cannot be formed .
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