To graph a parabola you must find the axis of symmetry, determine the focal distance and write the focal as a point, and find the directrix. These are all the main points you need to be able to draw a parabola.
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First you need more details about the parabola. Then - if the parabola opens upward - you can assume that the lowest point of the triangle is at the vertex; write an equation for each of the lines in the equilateral triangle. These lines will slope upwards (or downwards) at an angle of 60°; you must convert that to a slope (using the tangent function). Once you have the equation of the lines and the parabola, solve them simultaneously to check at what points they cross. Finally you can use the Pythagorean Theorem to calculate the length.
Yes, because an equilateral triangle is always acute.
no
If by regular, you're referring to a regular polygon which has all sides equal length, and all angles equal, then an equilateral triangle is a regular triangle. If you draw a scalene triangle or an isosceles triangle then it will not be equilateral.
Yes either an isosceles triangle or an equilateral triangle