Question

if AD is perpendicular to BC
prove that AB square + CD square = BD square + AC square​

Answer 1

Answer:

ANSWER

Since triangles ABD and ACD are right-angled triangles at D.

∴ AD

2

=AD

2

+BD

2

.....(i)

and, AC

2

=AD

2

+CD

2

.....(ii)

Subtracting (ii) from (i), we get

AB

2

−AC

2

=BD

2

−CD

2

⇒ AB

2

+CD

2

=AC

2

+BD

2