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
[tex]13^2=8^2+x^2[/tex]
The, we must solve the equation for x
[tex]\begin{gathered} 13^2-8^2=x^2 \\ 105=x^2 \\ \sqrt{105}=x \\ x=\sqrt{105} \end{gathered}[/tex]
Finally, x is equal to √105
ANSWER:
