Answer:
BD=24
Explanation:
I assigned my unkown sides of the triangles as x and y, where x = BD and y =AD.
I used pythagoras' theorem to find expressions for the the sides of the triangles in terms of x and y.
Both expressions had the term x^2 in them, so I equated expressions of x^2
From there i rearranged to find y.
Using my value of y, I found x.
I've given you my working so I hope that helps :>