Calculate the Hypotenuse X in a 3-4 Right Triangle using Pythagorean Theorem

Question

What is the length of the hypotenuse?

00:00 Find the length of hypotenuse X

00:03 Use the Pythagorean theorem in a right triangle

00:07 The sum of squares of both legs equals the square of hypotenuse

00:11 Substitute appropriate values and solve for X

00:21 Extract the root

00:27 And this is the solution to the problem

We use the Pythagorean theorem

$AC^2+AB^2=BC^2$

We insert the known data:

$3^2+4^2=BC^2$

$9+16=BC^2$

$25=BC^2$

We extract the root:

$\sqrt{25}=BC$

$5=BC$