### Home > PC > Chapter 2 > Lesson 2.3.2 > Problem 2-86

2-86.

Using exact values, find the area of an equilateral triangle with side length

Sketch an equilateral triangle. Label the angles and sides.

Drop a perpendicular height from to the base

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What kind of a triangle is

How long is ?

Using the Pythagorean Theorem, find the height ''.

Finally, find the area of the triangle multiplying half the height times the base.