Question

Two sides of an acute-angled triangle are $6cm$ and $2cm$ respectively. Which one of the following represents the correct range of the third side in cm?

• A. $(4,8)$
• B. $(4,2\sqrt{10})$
• C. $(4\sqrt{2},8)$
• D. $(4\sqrt{2},2\sqrt{10})$

Answer 1

The correct option is A $(4,8)$

If two sides of the triangle are 'a' and 'b' units, then the range of the third side is $(a-b,a+b)$.
So the range of the third side is $(4,8)$.