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Daniel [21]
3 years ago
13

A traffic yield sign is in the shape of an equilateral triangle. If each side is 36 inches,

Mathematics
1 answer:
ehidna [41]3 years ago
5 0

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.

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

h = 31.2 inches (rounded to the nearest tenth)

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