Question

What is BD?
some one help me out pls class ends in 10 minutes

Answer 1

Explanation:

Using the pythagorean theorem, we have :

8 squared + db squared = cb squared
2 squared + db squared = ab squared

=> 64 + db(squared) = cb(squared)
=> 4 + db (squared) = ab(squared)
minus those 2, we get : 60 = cb(squared) - ab(squared)

We have : CA = 8 + 2 = 10
cb squared + ab squared = 10 squared = 100 (pythagorean)

So, cb squared + ab squared = 100
cb squared - ab squared = 60

=> cb squared = (100+60)/2 = 80, ab squared = 20

2 squared + db squared = 20 squared

db squared = 400 - 4 = 396

db = sqrt(396) = 19.8997487421... (round to 19.9)

Hope this helps :)