Question

Which three lengths CANNOT be the lengths of the sides of a triangle? A. 23 m, 17 m, 14 m B. 11 m, 11 m, 12 m C. 5 m, 7 m, 8 m D. 21 m, 6 m, 10 m

Answer 1

D. 21cm because you divide all sides by 2 then get your slope form and multiply by seven

Answer 2

Answer: Option 'D' is correct.

Explanation:

We are required to find that length of sides which cannot be sides of triangle,

As we know that " Sum of two sides is always greater than the third side "

If any option does not follow the above postulate that will be our required answer :

D) 21 m, 6 m, 10 m

$21+6>10\\\\=27>10\\But,\ 6+10\ngtr 21\\\\=16\ngtr 21$

So, 21 m, 6 m, 10 m cannot be the length of any triangle as it does not satisfy the above mentioned postulate .

Hence, Option 'D' is correct.