Question

In ∆ABC, ∠B = 90°, AB =12, BC =5 and BD is Median. find l(BD).​

Answer 1

Answer:

6.5 units

Step-by-step explanation:

Given that, Angle B = 90°

AB = 12 unit, BC = 5 unit

The median on the hypotenuse of a right triangle divides the triangle into two isosceles triangles, because the median equals one-half the hypotenuse.

Since BD is the median, |AD| = |DC| =|BD| = 1/2 of AC

Using the Pythagoras theorem,

AC² = AB² + BC²

AC = √(12²) + (5²)

= √(144 + 25) = √169 = 13 units.

Therefore, BD = 1/2 × 13 = 6.5 units