Question

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

A) 23 cm, 17 cm, 8 cm

B) 12 cm, 10 cm, 25 cm

C) 6 cm, 7 cm, 16 cm

D) 8 cm, 7 cm, 16 cm​

Answer 1

Answer:

Only A

Step-by-step explanation:

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Answer 2

Triangle inequality theorem states that the sum of two sides of a triangle is always greater than the third side.

(a) 17+8>23 is true

Hence, the sides with the measure 23 cm,17 cm,8 cm will form the sides of a triangle.

(b) 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.

(c) 6+7>16 is not true

Hence, the sides with the measure 6 cm,7 cm,16 cm will not form the sides of a triangle.

(d) 8+7>16 is not true

Hence, the sides with the measure 8 cm,7 cm,16 cm will not form the sides of a triangle.

Right Answer A) 23 cm, 17 cm, 8 cm