Question

find the measure of \overline{ef}.
answer attempt 1 out of 2
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Explanation:

Step1: Use the Pythagorean theorem

In a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse. Here, \(DF = 16\) (hypotenuse), \(DE=12\), and we need to find \(EF\). Let \(EF = x\), \(DE = 12\), \(DF = 16\). Then \(x^{2}+12^{2}=16^{2}\).

Step2: Simplify the equation

$$
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$$

Step3: Solve for \(x\)

\(x=\sqrt{112}=\sqrt{16\times7}=4\sqrt{7}\approx 10.6\)

Answer:

\(4\sqrt{7}\approx10.6\)