Question

. If length of two sides of a triangle are
6 cm and 10 cm, then the length of
the third side can be

Answer 1

Answer: $4\,\rm{cm}<\text{Length of third side}<16\,\rm{cm}$

Step-by-step explanation:

Length of one side of the triangle is, $S_1=6\,\rm{cm}$.

Length of the other side of the triangle is, $S_2=10\,\rm{cm}$.

Now, the length of the third side of the triangle, $S_3$ can vary from,

$\begin{aligned}(S_2-S_1)&<S_3<(S_2+S_1)\\(10-6)&<S_3<(10+6)\\4\,\rm{cm}&<S_3<16\,\rm{cm}\end{aligned}$

Answer 2

Answer:

4 cm

Step by step explanation:

We know that in any triangle, the sum of any two sides must be greater than the the third side

.

Now, 10 - 6 = 4, this means that third side must be greater than 4 which is 6  cm.

Hence, 4 cm will be the third side.

Hope....its helps u.......!!!!