Question

The length of the longest slide is what inches the other two sides will each be what inches in length?

Answer 1

We know that the rod from which we made the triangle is 13 in long, this means that the perimeter of the triangle. from the diagram given we notice that the perimeter is:

`x+(x-1)+(x-1)`

equating this to 13 and solving for x we have:

`\begin{gathered} x+(x-1)+(x-1)=13 \\ 3x-2=13 \\ 3x=13+2 \\ 3x=15 \\ x=(15)/(3) \\ x=5 \end{gathered}`

Hence, the value of x=5 which means that the longest side measure 5 inches. To determine the length of the other sides we notice that they are given by x-1, which means that their length is 5-1=4 inches,

Therefore, the length of the longest side is 5 inches. The other two sides will each be 4 inches in length.