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3 years ago

Need help with 5. Part C

Mathematics

1 answer:

Mamont248 [21]3 years ago

7 0

Answer:

BA = 12

Step-by-step explanation:

All the right triangles are similar, so the ratio of hypotenuse to long side is a constant. In particular ΔABC ~ ΔDBA, so ...

hypotenuse/long-side = BC/BA = BA/BD

Cross multiplying gives ...

BA² = BC·BD

BA = √(BC·BD) = √(16·9)

BA = 12

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