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

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.