Question

ABC is a triangle such that $AB=10\text{cm}$ and $AC=3\text{cm}$. Then side BC is

• A. equal to 7 cm
• B. greater than 7 cm
• C. less than 7 cm
• D. cannot be determined

Answer 1

The correct option is B greater than 7 cm

We know that sum of two sides of a triangle is always greater than the third side.

AC + BC should be greater than AB, which is 10 cm.
i.e., AC + BC > 10
Given, AC = 3 cm
$\Rightarrow$ 3 + BC > 10
$\Rightarrow$ BC > 10 - 3
$\Rightarrow$ BC > 7
$\Rightarrow$ BC should be greater than 7 cm.