Triangle abc is an equilateral triangle.
ad = 10
what is the length of cd? give your answer

5.77

Step-by-step explanation:

In the triangle ABC, AD is perpendicular to BC and D is the midpoint of BC.  

Therefore, if all the sides of triangle ABC are 'a', then the length of CD will be  a/2.

Now, as ΔADC is a right triangle, then AD² +DC² =AC²

⇒ AD² = AC²- DC² =a²- ()² =  

⇒  =10² {Since length of AD is given to be 10}

⇒ a²= = 133.333

⇒ a = 11.547

Hence, the length of CD = a/2 = 5.77. (Answer)

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