Multiple choice

In ΔABC, ∠A is a right angle and AD is perpendicular to BC. If AD = 3 cm, BC = 12 cm then the value of (cot B + cot

  1. is-

  2. 36

  3. 4

  4. 3

  5. 8
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

In right triangle ABC with right angle at A, AD is the altitude to hypotenuse BC. Using the relationship that in a right triangle, the product of altitude and hypotenuse equals the product of the two legs: AD × BC = AB × AC. Also, cot B = BD/AD and cot C = CD/AD. Since BD + CD = BC, we get cot B + cot C = BC/AD = 12/3 = 4. The claimed answer B (4) is correct.

Keep practicing — related questions