Multiple choice

(\triangle ABC) a right angled triangle has (\angle B = 90^\circ) and AC is hypotenuse. D is its circumcentre and AB = 3 cms, BC = 4 cms. The value of BD is

  1. 3cm

  2. 4 cm

  3. 5 cm

  4. 2.5 cm
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

In a right triangle, the circumcentre is the midpoint of the hypotenuse. Hypotenuse AC = √(3² + 4²) = √25 = 5 cm. The circumcentre is at the midpoint of AC, and BD is the distance from right angle B to this midpoint. In a right triangle, the median to the hypotenuse equals half the hypotenuse: BD = 5/2 = 2.5 cm. Options A, B, C are incorrect.

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