Question

what is the ratio of the area of the equilateral Frangle and the (a)3√3:π (b)π:3 C) 3√3:3 (d) 2√3:1​

Answer 1

Step-by-step explanation:

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Area = 1/2 base * height

so we need to calculate the height:

this is easy for an equilateral triangle, since you can bisect any such triangle into two identical 30:60:90 triangles.

The ratio of lengths of a 30:60:90 triangle is 1:√3:2.

Regards..

$\fcolorbox{blue}{azure} {Itzintellectual}$

Answer 2

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[tex] \sf \pink{Area = 1/2 \: base \times \: height}

• this is easy for an equilateral triangle, since you can bisect any such triangle into two identical 30:60:90 triangles.

• The ratio of lengths of a 30:60:90 triangle is 1:√3:2. The side of the equilateral triangle is 4, and we divided the base in half when we bisected the triangle, so that give us a length of 2, so our triangle must have sides of 2, 4, and 2√3; thus we have our height.