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Q.

Which of the following will form the sides of a triangle?


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a

23cm,17cm,8cm

b

12cm,10cm,25cm

c

6cm,7cm,16cm

d

8cm,7cm,16cm  

answer is A.

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Detailed Solution

We have to choose a combination of sides of triangle.
We know that, according to the triangle inequality theorem, the sum of a triangle's two sides is always greater than its third side.
(1) 17+8>23 is true.
Hence, the sides with the measure 23 cm,17 cm,8 cm will form the sides of a triangle.
(2) 10+12>25 is not true.
Hence, the sides with the measure 10 cm,12 cm,25 cm will not form the sides of a triangle.
(3) 6+7>16is not true.
Hence, the sides with the measure 6 cm,7 cm,16 cm will not form the sides of a triangle.
(4) 8+7>16is not true.
Hence, the sides with the measure 8 cm,7 cm,16 cm will not form the sides of a triangle.
Hence, option 1 is correct.
 
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