Question

The height of trapezoid VWXZ is 8(square 3) units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.

What is the length of the lower base, ZX?

Answer 1

30 ° - 60 ° - 90 ° triangle theorem states that:

Base of the triangle is:

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The height of the triangle is:

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The hypotenuse of the triangle is:

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Therefore, we have then that the height is:

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From where we conclude that the value of x is:

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Thus, the length of the base is:

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Finally, the length ZX is:

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Substituting values:

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Answer:

the length of the lower base, ZX is:

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option 3