9514 1404 393
Answer:
BD = 14
Step-by-step explanation:
The Pythagorean theorem can be used to find the lengths of CD and BC.
CD² +12² = 13²
CD = √(169 -144) = √25 = 5
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BC² +12² = 15²
BC = √(225 -144) = √81 = 9
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The length BD is then ...
BD = BC +CD
BD = 9 + 5 = 14
The length of side BD is 14 units.
