maddisonmaimoss maddisonmaimoss
  • 12-06-2021
  • Mathematics
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An equilateral triangle with side length 20 cm is shown in the diagram, work out the area of the triangle.Give your answer rounded to 1 DP.

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rococo908
rococo908 rococo908
  • 12-06-2021

Answer:

173.2 cm²

Step-by-step explanation:

Use the equilateral triangle area formula, A = [tex]\frac{\sqrt{3}}{4}[/tex]a²

Plug in the side length and solve:

A = [tex]\frac{\sqrt{3}}{4}[/tex]a²

A = [tex]\frac{\sqrt{3}}{4}[/tex](20)²

A = [tex]\frac{\sqrt{3}}{4}[/tex](400)

A = 173.2

So, the area of the triangle is approximately 173.2 cm²

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