Question

Solve for the length of the unknown side in the following right triangle. (Side AC is the hypotenuse.) Round your answer to two places, where applicable. Side AB 17, Side BC 22, Side AC ?

Answer 1

27.87

Explanation:

In a right triangle, the length of the hypotenuse can be found using the Pythagorean theorem, which states that the sum of the squares of the two shorter sides is equal to the square of the length of the hypotenuse.

Using the given sides, we can write the equation:

AB^2 + BC^2 = AC^2

Substituting the given values, we have:

17^2 + 22^2 = AC^2

Simplifying the left side, we get:

289 + 484 = AC^2

773 = AC^2

Taking the square root of both sides, we find:

AC = √773 = 27.87

Rounding to two decimal places, the length of side AC is approximately 27.87.