Answer:
[tex]7\sqrt{2}[/tex]
Step-by-step explanation:
We know that the missing angle is 45 degrees and the hypotenuse is 14.
If both side angles equal to 45, according to base angle theorem, this triangle is isosceles.
Since this triangle is isosceles, the two legs must be equal. Let x be the legs.
According to the 45 45 90 triangle theorem, the hypotenuse is equal to [tex]\sqrt2[/tex]*x
If 14 = [tex]\sqrt{2}*x[/tex]
[tex]\frac{14}{\sqrt{2} }[/tex] = x
Rationalize denominator
[tex]x = \frac{14}{\sqrt{2} } * \frac{\sqrt{2} }{\sqrt{2} } = \frac{14\sqrt{2} }{2} = 7\sqrt{2}[/tex]
The answer is [tex]7\sqrt{2}[/tex]
Hope this helps :)