Question

Given two sides of a triangle, find a rang possible lengths for the tbird side.question 1.9yd, 32yd

Answer 1

given two sides of a triangle, find a range of possible lengths for the third side.

Let the third side = x

For any triangle: the sum of two sides is greater than the third side

So,

question 1.

9yd, 32yd

So, the third side is according to the following inequality:

`\begin{gathered} x<9+32 \\ x<41 \end{gathered}`

And

[tex]\begin{gathered} 9<32+x \\ 9-32And [tex]\begin{gathered} 32<9+x \\ 32-9According to the three inequalities:[tex]23So, the possible range is (23, 41)