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pshichka [43]
3 years ago
7

The base of a solid oblique pyramid is an equilateral triangle with a base edge length of 18 inches. A solid oblique pyramid has

an equilateral triangle base with an edge length of 18 inches. What is the height of the triangular base of the pyramid? 9 √ 2 in. 9 √ 3 in. 18 √ 2 in. 18 √ 3 in.
Mathematics
2 answers:
igor_vitrenko [27]3 years ago
6 0

Answer:

b.9\sqrt{3}in

Step-by-step explanation:

We are given that

Length of equilateral triangle=a=18 in

Base of oblique pyramid is an equilateral triangle.

We have to find the height of the triangular base of the pyramid

Height of the triangular base of the pyramid,h=acos\theta

We know that each angle of equilateral triangle =60 degree

\theta=\frac{60}{2}=30^{\circ}

Substitute the values

Height of triangular base of the pyramid,h=18cos30=18\times \frac{\sqrt 3}{2}in

Using the value of

cos30^{\circ}=\frac{\sqrt 3}{2}

Height of triangular base of the pyramid,h=9\sqrt{3}in

Option b is true.

castortr0y [4]3 years ago
4 0

Answer:

It's the second option 9 √ 3 in

Step-by-step explanation:

just did it on edge

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Step-by-step explanation:

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