Answer:
7√3
Step-by-step explanation:
We can use pythagoreans theorem to solve this
Since, we know one side, and the hypotenuse, we can solve for the other side.
Pythagoreans theorem: a²+b²=c²
Where a and b are two sides, and c is the hypotenuse (the side opposite of the right angle)
In this triangle, 7 is the side, and 14 is the hypotenuse.
I will plug in the values into pythagoreans theorem, and then simplify:
[tex]a^{2}+b^{2} =c^{2} \\\\7^{2} +x^{2} =14^{2} \\\\49+x^{2} =196\\\\x^{2} =147\\\\x=\sqrt{147} \\\\x=\sqrt{49*3 }\\\\ x=\sqrt{7^{2} *3 }\\\\x=7\sqrt{3}[/tex]
So x = 7√3
