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Answer:

B. 5√3 is your answer.

Step-by-step explanation:

This is an equilateral triangle, which means that all external sides (that make up the triangle) have the same measurement.

This means that line segment AC = 10.

Solve for the measurement of line segment AB. Line Segment AB is 1/2 of AC, making it: 10/2 = 5

Line AB = 5

Line AD = 10

This is a 1, √3, 2 triangle, in which:

1 = 5

2 = 10

Solve for √3. Multiply √3 with the 1:

5 x √3 = 5√3

B. 5√3 is your answer.

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Answer; B

If the triangle is equilateral...then all sides are equal and the interior angles are all 60°

If line BD bisects <D...then the angle ADB = 30°(60° ÷ 2)

Then apply the trigonometry formula

where we state that....

Cos theta = BD/10

;Cos 30° = BD/10

; 10 Cos 30° = BD

Length BD = 10(square root of 3/2)

Which then gives us..BD = 5(square root of 3)

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