Question

Find the value of x. If necessary, write your answer in simplest radical form.

Answer 1

Explanation:

1 Warm-Up Go to formulas page and write out Pythagorean Theorem. ... Example 1B: Using the Pythagorean Theorem Find the value of x. Give your answer in simplest radical form. a2 + b2 = c2 (x – 2)2 + 42 = x2 x2 – 4x + 4 + 16 = x2 ... safety ratio of 4:1, how high will a 30-foot ladder reach when placed against a wall?

Answer 2

The length of AC (x) is approximately 9.49.

To find the length of AC, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, AB and BC are the two sides, and AC is the hypotenuse.

We have AB = 8 and BC = 5, so we can use the equation
`AC^2 = AB^2 + BC^2` to find AC.

Substituting the values, we get
`AC^2 = 8^2 + 5^2` = 64 + 25 = 89.

Taking the square root of both sides, we find AC ≈ 9.49.

Therefore, The length of AC (x) is approximately 9.49