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An equilateral triangle is inscribed in a parabola with its vertex at the vertex of the parabola how do you find the length of the equilateral triangle?
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.
What else can I help you with?
What shows an equilateral triangle inscribed in a circle?
An equilateral triangle inscribed in a circle has three sides that are equal in length and three angles that are each 60 degrees. The center of the circle is also the intersection point of the triangle's perpendicular bisectors.
What type of triangle is an equilateral?
a equilateral triangle has all the sides the same length.
Which triangle has the same length?
An equilateral triangle
How many sides does an equilateral triangle have of equal length?
All three sides of an equilateral triangle are..."equal" in length.
How do you write the inverse converse and contrapositive of the statement a triangle is equilateral if it has three sides with the same lenghts?
The original statement is: "If a triangle has three sides of the same length, then it is equilateral." Inverse: "If a triangle does not have three sides of the same length, then it is not equilateral." Converse: "If a triangle is equilateral, then it has three sides of the same length." Contrapositive: "If a triangle is not equilateral, then it does not have three sides of the same length."
What shows an equilateral triangle inscribed in a circle?
An equilateral triangle inscribed in a circle has three sides that are equal in length and three angles that are each 60 degrees. The center of the circle is also the intersection point of the triangle's perpendicular bisectors.
A triangle with all sides the same length?
is called an equilateral triangle
What type of triangle is an equilateral?
a equilateral triangle has all the sides the same length.
Which triangle has the same length?
An equilateral triangle
How many sides does an equilateral triangle have of equal length?
All three sides of an equilateral triangle are..."equal" in length.
What is the difference between an isoceles triangle and an equilateral triangle?
An isoceles triangle has TWO sides of equal length but an equilateral triangle has THREE sides of equal length
What about the equilateral triangle that makes it an equilateral triangle?
All three sides are equal in length.
What a equilateral triangle?
An equilateral triangle is one whose three sides are the same length.
An equilateral triangle is a what?
A triangle with equal length sides
What triangle has sides of equal length?
an equilateral triangle
Mateo is constructing an equilateral triangle inscribed in a circle with center P. What is his first step?
Mateo's first step in constructing an equilateral triangle inscribed in a circle with center P is to draw the circle itself, ensuring that the radius is defined. Next, he can mark a point on the circumference of the circle to serve as one vertex of the triangle. From there, he will need to use a compass to find the other two vertices by measuring the same distance (the length of the triangle's side) along the circumference of the circle. Finally, he will connect the three points to form the equilateral triangle.
The length of an equilateral triangle is 66 what it the length of one side of the triangle?
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