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Find the exact length of EC.

Find the exact length of EC.-example-1
User Sean Vaughn
by
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1 Answer

14 votes
14 votes

Answer:


√(246)

Explanation:

The scale factor is
(4√(138) )/(√(138)) = 4

If AB = 6
√(3) then AC = 24
√(3) 4 times longer.

Using a² + b² = c² substitute a = 4
√(138), b = 24
√(3), and c = DC = x


(4√(138))^2 + (24√(3) )^2= x^2

2208 + 1728 = x²

3936 = x²


√(3936) = x

4
\sqrt{246 this is the length of DC

Now the length of EC is 4 times shorter, so EC =
√(246)

User Fabianegli
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3.0k points