Question

In a triangle the sum of any sides is

• A. less than the third side
• B. equal to the third side
• C. greater than the third side
• D. twice the third side

Answer 1

The correct option is C

greater than the third side

Correct option:(c) greater than the third side

Let $△ABC$

Then, by the property of the triangle

$$\begin{gathered} AB+BC>AC \\ BC+CA>AB \\ andCA+AB>BC \end{gathered}$$

So, In a triangle, the sum of any two sides is greater than the third side.

Incorrect options:

(a) less than the third side

Since In a triangle, the sum of any two sides is greater than the third side.

So, this option is incorrect.

(b) equal to the third side

Since In a triangle, the sum of any two sides is greater than the third side.

So, this option is incorrect.

(d) twice the third side

Since In a triangle, the sum of any two sides is greater than the third side.

So, this option is incorrect.

Hence, option (c) is correct.