triangle ABC is an equilateral triangle. |AD|=6. |BD|=10. |CD|=8. What is m angle CDA?

Rubi Garner

Rubi Garner

Answered question

2022-10-29

Finding angle associated with point inside an equilateral triangle.

A B C is an equilateral triangle.
| A D | = 6.
| B D | = 10.
| C D | = 8.
What is m C D A ?

Answer & Explanation

Pradellalo

Pradellalo

Beginner2022-10-30Added 16 answers

Step 1
Rotate A D C w.r.t. A so that AC overlaps AB. Suppose image of D is E. Now A E = A D = E D = 6 for E A D = π / 3.
Step 2
Now in B E D , B E = 8 , E D = 6 , B D = 10 so B E D is right angled with E = π / 2. Hence evaluate A E B = 5 π / 6 = A D C.

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