The perimeter P of an equilateral triangle is given by '3- length of side. If the length of each s of an equilateral triangle is a, express P mathematically. If ar-3 units, then evaluate the perimeter of the triangle
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Answer:
8
Step-by-step explanation:
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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