# The base of a solid oblique pyramid is an equilateral triangle with a base edge length of 18 inches.What is the height of the triangular base of the pyramid?

The task is, in fact, to find the height of the equilateral triangle with a base edge ob 18 inches. Let ΔABC be the base with AB=BC=CA=18 in. Let AD be an altitude perpendicular to the side BC. Consider the triangle ADB, it is right triangle with hypotenuse AB=18 in., leg DB=18÷2=9 in. and AD unknown leg. By the Pythagorean theorem: Answer: the height of the triangular base of the pyramid is .

To solve this problem you must apply the proccedure shown below: By definition, an equilateral triangle has equal sides and all its internal angles are . If you divide it into two right triangles, you can apply the Pythagorean Theorem to calculate the height of the triangular base of the pyramid, as following:Therefore, as you can see, the answer is:

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