Question

If the shaded area is one half the area of triangle ABC and angle
ABC is right angle, then the length of line segment AD is​

Answer 1

Answer:

Property of median: Each median divides the triangle into two smaller triangles which have the same area.

So, AD is median and thus , (we could derive this even not knowing the above property. Given: --> ).

Next: AD is hypotenuse in right triangle ABD and thus (as and , so ).