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A traffic yield sign is in the shape of an equilateral triangle. If each side is 36 inches,
what is the height of the sign to the nearest tenth of an inch?

A traffic yield sign is in the shape of an equilateral triangle If each side is 36 inches what is the height of the sign to the nearest tenth of an inch class=

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Answer:

31.2 inches

Step-by-step explanation:

Draw a line representing the height of the triangle, and divide it into 2 triangles.

Apply Pythagoras Theorem on one of the smaller triangles first.

[tex]h = \sqrt{ {36}^{2} - {(36 \div 2)}^{2} } \\ h = \sqrt{ {36}^{2} - {18}^{2} } \\ h = \sqrt{972} \\ h = 31.17691...[/tex]

h = 31.2 inches (rounded to the nearest tenth)

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