EXPLANATION
By applying the Pythagorean Theorem, we can compute the value of the hypotenuse,as shown as follows:
[tex]Hypotenuse^2=Smaller\text{ leg}^2+Larger\text{ leg}^2[/tex]Plugging in the terms into the expression:
[tex]c^2=16^2+30^2[/tex]Computing the powers:
[tex]c^2=256+900[/tex]Adding numbers:
[tex]c^2=1156[/tex]Applying the square root to both sides:
[tex]c=\sqrt{1156}[/tex]Computing the root:
[tex]c=34[/tex]In conclusion, the hypotenuse is equal to 34 inches.
