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question 7 of 10 what is the length of \\( \\overline { e f } \\) in th…

Question

question 7 of 10
what is the length of \\( \overline { e f } \\) in the right triangle below?

a. \\( \sqrt { 217 } \\)
b. 505
c. 22
d. 217
e. \\( \sqrt { 505 } \\)
f. 7

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, \(DE^{2}=DF^{2}+EF^{2}\). Let \(EF = x\), \(DE = 19\), \(DF=12\). Then \(19^{2}=12^{2}+x^{2}\).

Step2: Solve for \(x\)

$$ LATEXBLOCK0 $$

Answer:

A. \(\sqrt{217}\)