In △CDE , DE=10 , CE=5 , and m∠E=58∘ .

What is the length of CD¯?

Enter your answer, rounded to the nearest hundredth, in the box.

The length of CD is 8.5

Explanation:

The image of the triangle CDE with the measurements DE=10 , CE=5 , and m∠E=58 is attached below:

To determine the length of CD, let us use the law of cosine formula.

Thus, we have,

where , and

Substituting these values in the above formula, we get,

Simplifying,we get,

Subtracting, we get,

Taking square root on both sides, we get,

Hence, the length of CD is 8.5

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step-by-step explanation: