MathDB

Let triangle

ABC

be such that

AB = AC = 22

and

BC = 11

. Point

D

is chosen in the interior of the triangle such that

AD = 19

and

\angle ABD + \angle ACD = 90^o

. The value of

BD^2 + CD^2

can be expressed as

\frac{a}{b}

, where

a

and

b

are relatively prime positive integers. Compute

100a + b

Problem Statement