∆ ABC a right angled triangle has ∠B = 90° and

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∆ ABC a right angled triangle has ∠B = 90° and AC is hypotenuse. D is its circumcentre and AB = 3 cm, BC = 4 cm. The value of BD is

1. 3 cm.
2. 4 cm.
3. 2.5 cm.
4. 5.5 cm.

Correct Option: C

According to question , we draw a figure of right angled triangle ABC

Here , ∠B = 90° , AB = 3 cm, BC = 4 cm
AD = DC = DB
In ∆ ABC,
AC = √AB² + BC²
AC = √3² + 4²
AC = √9 + 16 = √25 = 5 cm.

∴ AD =	5	= 2.5 cm.
	2

∴ AD = BD = 2.5 cm