Answer:
√65
Step-by-step explanation:
Since this is a right triangle, we can use Pythagorean Theorem to solve for the missing side.
Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex]
In this instance, we are given a leg and the hypotenuse. Substitute the values into the theorem and solve for the missing side.
[tex]4^2+b^2=9^2\\\\16=b^2=81\\\\b^2=65\\\\b=\sqrt{65}[/tex]
Therefore, the value for the missing side is √65.
