Question

Find the missing side of this righttriangle.Enter the number that belongs in the green box.

Answer 1

INFORMATION:

We have the following triangle

And we must find the missing side

STEP BY STEP EXPLANATION:

To find the missing side, we must use the Pythagorean theorem which states:

In our case,

- hypotenuse is equal to 13

- other two sides are 8 and x

Now, using the theorem and our values from the given triangle, we can state the following equation

`13^2=8^2+x^2`

The, we must solve the equation for x

`\begin{gathered} 13^2-8^2=x^2 \\ 105=x^2 \\ √(105)=x \\ x=√(105) \end{gathered}`

Finally, x is equal to √105

ANSWER: