Question

CHOOSE ALL ANSWERS THAT ARE CORRECT.The lengths of two sides of a triangle are 55 and 20.Select the possible lengths of the third side.-30-14-35-45-72-60-75

Answer 1

Given:

The lengths of two sides of a triangle are 55 and 20.

Required:

To find the possible lengths of the third side.

Explanation:

So, if the third side is x cm, then

$55+20=75$

So, we got

$x<75$

Now

$\begin{gathered} x+20>55 \\ x>55-20 \\ x>35 \end{gathered}$

Hence the conclusion is the value of x lies between 35 and 75.

Therefore, the possible third sides are 45, 72 and 60.

Final Answer:

The possible third sides are 45, 72 and 60.