Question

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 ______.

Options

• 6

• 5

• 3

• 4

Answer 1

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 4.

Explanation:

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 triangle.

`{{:(10 < 6.5 + 4),(6.5 < 10 + 4),(4 < 10 + 6.5):}}`