solve for the length of the unknown side of the following right triangle. Side BC is 12 side AC is 19. Side AB is the hypotenuse

1 answer

Using the Pythagorean theorem, we can solve for the length of side AB.

The Pythagorean theorem states that the square of the length of the hypotenuse (AB) is equal to the sum of the squares of the lengths of the other two sides (BC and AC).

So, AB^2 = BC^2 + AC^2

Plugging in the given lengths, we get:

AB^2 = 12^2 + 19^2
AB^2 = 144 + 361
AB^2 = 505

To find the length of AB, we take the square root of both sides:

AB = sqrt(505)

Therefore, the length of the unknown side AB is approximately 22.47.