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Lena [83]
3 years ago
8

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 tr

iangular base of the pyramid
Mathematics
2 answers:
dexar [7]3 years ago
8 0
The answer is 9 sq root of 3
ExtremeBDS [4]3 years ago
6 0
The height of the triangular base of the pyramid is calculated through the equation,
                                        h = (cos x)(18 in)
where h is height and x is half of the angle of the triangle. Since the triangle is equilateral, the value of  x is 30°. Substituting,
                                        h = (cos 30°)(18 in)
                                        h = 15.59 in
Thus, the height of the base is approximately 15.59 inches. 
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Since the two triangles are similar, we know that all of the corresponding angles must be the same.  On the triangle on the left, we can see that the angle formed between sides AB and AC is 60°.  This means that the same angle is formed at Z, which is in the same location on the triangle to the right.  From there, we can find the missing angle, W, from the difference of 180°.

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3 years ago
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Answer:

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