Watch the video Then find the hypotenuse of a triangle with legs a=4ft and b=7ft Write your answer as a simplified radical. B AM colds x=5sqrt (12)

To find the hypotenuse of a triangle with legs $a=4ft$ and $b=7ft$, we can use the Pythagorean theorem, which states that in a right triangle, the square lengthotenuse is equal to the sum of the squares of the lengths of the other two sides.<br /><br />The Pythagorean theorem can be written as:<br />\[ c^2 = a^2 + b^2 \]<br /><br />Substituting the given values:<br />\[ c^2 = 4^2 + 7^2 \]<br />\[ c^2 = 16 + 49 \]<br />\[ c^2 = 65 \]<br /><br />To find the value of $c$, we take the square root of both sides:<br />\[ c = \sqrt{65} \]<br /><br />Therefore, the hypotenuse of the triangle with legs $a=4ft$ and $b=7ft$ is $\sqrt{65}$ feet.