20. Calculate the length of the sides of the give an equilateral triangle and correct it to
millimetres length 4 cm answer and step
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An equilateral triangle can be broken down into 2 30-60-90 right triangles (see image). The length of a side (the base) is 2x while the length of the height is x3–√. The area of a triangle can be calculated using the following equation:
A=12bh
Therefore, if 2x equals the length of a side:
A=163–√=12bh=12(2x)(x3–√)=x23–√
163–√=x23–√
16=x2
x=4
A length of the side equals 2x:
2(4)=8
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