* Find the length of BD.
A

9514 1404 393
Answer:
BD = 17
Step-by-step explanation:
The Pythagorean theorem can be used twice:
BC^2 + AC^2 = AB^2
BC = √(AB^2 -AC^2) = √(25^2 -24^2) = √49 = 7
__
Likewise, ...
DC = √(AD^2 -AC^2) = √(26^2 -24^2) = √100 = 10
Then ...
BD = BC +DC = 7 + 10
BD = 17