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## anonymous one year ago Find the area of an equilateral triangle with a side of 6 inches

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1. triciaal

equilateral means all sides equal

2. triciaal

|dw:1434927334726:dw||dw:1434928026031:dw|

3. mathstudent55

Here is a different method that uses a 30-60-90 triangle. |dw:1434940026541:dw|

4. mathstudent55

|dw:1434940087467:dw|

5. mathstudent55

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6. mathstudent55

The sides of a 30-60-90 triangle are in the ratio 1: sqrt(3) : 2 |dw:1434940212496:dw|

7. mathstudent55

$$A = \dfrac{bh}{2} = \dfrac{6 \times 3\sqrt 3}{2} = \dfrac{18 \sqrt 3}{2} = 9\sqrt 3$$ |dw:1434940304382:dw|

8. mathstudent55

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