WBCS.LIVE practice question

Triangle ABC is right-angled at B. If AB = 24 mm. and BC = 7 mm. then, AC = ?

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. 31 mm.
  2. 21 mm.
  3. 35 mm.
  4. 25 mm.

Correct answer and explanation

Correct answer: 25 mm.

Explanation: āœ… Correct Answer: D) 25 mm. šŸ“š Explanation: Since triangle $ABC$ is right-angled at $B$, the hypotenuse $AC$ can be found directly using the Pythagorean theorem: $AC^2 = AB^2 + BC^2$. Substituting the values $AB = 24\text{ mm}$ and $BC = 7\text{ mm}$ into the formula gives: $AC = \sqrt{24^2 + 7^2} = \sqrt{576 + 49} = \sqrt{625} = 25\text{ mm}$.