Question

* Find the length of BD.
A

Answer 1

9514 1404 393

Answer:

BD = 17

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

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Likewise, ...

DC = √(AD^2 -AC^2) = √(26^2 -24^2) = √100 = 10

Then ...

BD = BC +DC = 7 + 10

BD = 17