Answer :

The length of side AC is approximately 38.5 units. So, the correct answer is option D) 38.5 units.

Given the information provided:

- Angle B is 90 degrees.

- Side AB has a length of 30 units.

- Side BC has a length of 24 units.

We need to find the length of side AC.

Since triangle ABC is a right triangle, we can use the Pythagorean theorem to find the length of side AC.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

So, applying the Pythagorean theorem:

[tex]\[ AC^2 = AB^2 + BC^2 \][/tex]

Substituting the given values:

[tex]\[ AC^2 = 30^2 + 24^2 \][/tex]

[tex]\[ AC^2 = 900 + 576 \][/tex]

[tex]\[ AC^2 = 1476 \][/tex]

[tex]\[ AC = \sqrt{1476} \][/tex]

[tex]\[ AC \approx 38.5 \][/tex]

Therefore, the length of side AC is approximately 38.5 units. So, the correct answer is option D) 38.5 units.

Complete Question:

Assuming we have a right triangle ABC where:

Angle B is 90 degrees.

Side AB has a length of 30 units.

Side BC has a length of 24 units.

We need to find the length of side AC.

Thanks for taking the time to read Determine the length of overline AC A 32 units B 35 2 units C 10 3 units D 38 5 units. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada