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In ∆ ABC, ∠B is right angle, D is the mid–point of the side AC. If AB = 6 cm, BC = 8 cm, then the length of BD is
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- 4 cm.
- 5 cm.
- 8 cm.
- 12 cm.
- 4 cm.
Correct Option: B
On the basis of question we draw a figure of right angle triangle ABC in which D is the mid–point of the side AC ,
In ∆ ABC,
AC = √AB² + BC²
AC = √6² + 8²
AC = √36 + 64
AC = √100 = 10 cm.
A circle will pass through the points A, B, and C such that AC is diameter as ∠B = 90°.
∴ AD = BD = DC = 5 cm.
