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
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.
To solve for the length of the unknown side, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let's assign the unknown side as x.
According to the Pythagorean theorem:
AB^2 = BC^2 + AC^2
Substituting the given values:
AB^2 = 12^2 + 19^2
Calculating:
AB^2 = 144 + 361
AB^2 = 505
To find the length of side AB, we need to find the square root of 505:
AB = sqrt(505)
Therefore, the length of side AB, the hypotenuse, is approximately sqrt(505).