Question

answer attempt 1 out of 2
submit answer

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, if the legs are $a$ and $b$, hypotenuse $c$ satisfies $c^2=a^2+b^2$. Here $a=4$, $b=7$.
$c^2=4^2+7^2$

Step2: Calculate squared values

Compute the squares of the legs.
$4^2=16$, $7^2=49$

Step3: Sum the squared values

Add the two results to get $c^2$.
$c^2=16+49=65$

Step4: Solve for hypotenuse

Take the square root of the sum.
$c=\sqrt{65}$

Answer:

$\sqrt{65}$