CPM Homework Help : PC Problem 2-86

Using exact values, find the area of an equilateral triangle with side length 12 cm. Homework Help ✎

Step 1:

Sketch an equilateral triangle. Label the angles and sides.

Step 2:

Drop a perpendicular height from C to the base AB.

Step 3:

What kind of a triangle is ΔCDB?

Step 4:

How long is DB?

Step 5:

Using the Pythagorean Theorem, find the height 'h'.

Answer:

30° 60° 90° triangle

Answer:

6 cm.

Step 6:

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