1 Answer

Prasad Rajapaksha · Answer 1 · 2023-10-26T18:32:42+0000

The length of the third side of a triangle must be greater than the subtraction of the other two sides,

$\begin{gathered} \text{The other two sides are 10 and 5 units} \\ \text{Difference of the other two sides= AC-AB =10-5=5 units} \end{gathered}$

And the length of the third side of a triangle must be less than the addition of the other two sides,

$\text{Addition of the other two sides =10+5= 15 units}$

The length of the third should be less than 15 but greater than 5,

Hence, the most possible length of BC in triangle ABC is 15 units.

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