Question

Question 1

Four options are given, out of which only one is correct. Choose the correct one.

The sides of a triangle have lengths (in cm) 10, 6.5 and a, where a is a whole number. The minimum value that a can take is

(a) 6
(b) 5
(c) 3
(d) 4

Answer 1

As we know, the sum of any two sides in a triangle is always greater than the third side. So, only 4 is the minimum value that satisfies as a side in a triangle.
$\left\{\begin{array}{c}10<6.5+4\\ 6.5<10+4\\ 4<10+6.5\end{array}\right\}$