Question

your given two side lengths of a 6 centimeters and 9 centimeters which measurements can you use for the length of the third side to construct a valid trinagle

Answer 1

Step-by-step explanation:

To build a valid triangle with the measurements we have, first we must always graph them, the smaller side forms the right angle, the other side can form the other segment on which the line rests, now after graphing, we only have to draw with a ruler the line from the end of the first side measurement to the end of the second side measurement.

Something very important is that we must know exactly the measure of the third side, for that we must apply a formula especially after graphing.

NOTE:

Now to quickly find the third side that is the longest, an easy way to do it would be to apply the formula of the hypotenuse that and replace the two measurements given.

The formula is the following:

`\begin{gathered} h^2=\text{ }a^2\text{ }+b^2 \\ h^2\text{ }=6^2\text{ }+9^2 \\ h^2\text{ }=36\text{ }+81 \\ h^2\text{ }=\sqrt[]{(117)} \\ \textcolor{#FF7968}{h}\text{\textcolor{#FF7968}{ }}\textcolor{#FF7968}{=10.82} \\ \end{gathered}`

Next we are going to graph the triangle;