Question

if 3 and 4 are the legs of a right triangle, the hypotenuse is ______. if 3 and 4 are the legs of a right triangle, the hypotenuse is \boxed{}. (type an integer or a decimal.)

Explanation:

Step1: Recall Pythagorean theorem

For right triangle: $c^2 = a^2 + b^2$, where $c$ is hypotenuse, $a,b$ are legs.

Step2: Substitute values $a=3, b=4$

$c^2 = 3^2 + 4^2 = 9 + 16$

Step3: Calculate and solve for $c$

$c^2 = 25$, so $c = \sqrt{25} = 5$

Answer:

5