1. Is it possible to draw a triangle, the lengths of whose sides are given below?
(i)lcm, lcm, lcm (ii) 2cm, 3cm, 4cm (iii) 7cm, 8cm, 15cm (iv) 3.4cm, 2.1cm, 5.3cm (v) 6cm. 7cm, 14cm
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1. Is it possible to draw a triangle, the lengths of whose sides are given below?
(i)lcm, lcm, lcm (ii) 2cm, 3cm, 4cm (iii) 7cm, 8cm, 15cm (iv) 3.4cm, 2.1cm, 5.3cm (v) 6cm. 7cm, 14cm
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To find :
Method used :
If above mentioned condition is fulfilled than the triangle can be formed with given set of sides
Solution :
(i) 1cm , 1cm , 1cm
Hence, a triangle can be formed with these side
(ii) 2cm, 3cm, 4cm
Hence, a triangle can be formed with these side
(iii) 7cm, 8cm, 15cm
Hence, a triangle cannot be formed with these side
(iv) 3.4cm, 2.1cm, 5.3cm
Hence, a triangle can be formed with these side
(v) 6cm. 7cm, 14cm
Hence, a triangle cannot be formed with these side
ANSWER :
Triangle can be formed by using (i) (ii) & (iv)
Traingle cannot be formed by using (iii) & (v)