Answer:
x=10
Step-by-step explanation:
In order to solve this equation we must break it down. This question is going to require the Pythagorean theorem [tex]a^{2} +b^{2}=c^{2}[/tex]. To use this we need a right triangle which happens to be half of the triangle shown. Now we can plug in the numbers.
[tex]7^{2}+\frac{1}{2} x^{2} =\sqrt{74}^{2}[/tex]
[tex]49+\frac{1}{2} x^{2} =74[/tex]
[tex]\frac{1}{2} x^{2} =25[/tex]
[tex]\frac{1}{2} x=5[/tex]
[tex]x=10[/tex]
This ends in x equaling 10. I hope this helps you!
