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If an equilateral triangle has a height of 8 metres find the length of each side. Round your answer to 2 decimal places.

Respuesta :

Answer:

9.24 m to 2 DP's.

Step-by-step explanation:

Consider the right triangle formed from a side , altitude and 1/2 the base.

By pythagoras:

x^2 = 8^2 + (0.5x)^2     where x is the length of each side.

x^2 - 0.25x^2 = 64

0.75x^2 = 64

x^2 = 64/0.75 =  85.3333.

x = 9.2376 m.

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