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Two vertices of an equilateral triangle are 0 1 and 4 3 Find the third vertex of the triangle?
To find the third vertex of the equilateral triangle with vertices at (0, 1) and (4, 3), we can use the fact that the distance between all three vertices must be equal. The midpoint of the segment connecting (0, 1) and (4, 3) is (2, 2). The third vertex can be found by rotating the segment around this midpoint by ±60 degrees. The third vertex is either (1, 4) or (3, -2).
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What tools or construction is needed to construct an equilateral triangle?
To construct an equilateral triangle, you need a straightedge (ruler without markings) and a compass. First, draw a straight line segment of the desired length for one side of the triangle. Then, use the compass to draw arcs from each endpoint of the segment, with the radius set to the length of the segment, intersecting the arcs to find the third vertex. Finally, connect the vertices to complete the equilateral triangle.
What are the three names of a regular triangle?
Regular, Acute, and Equilateral * * * * * Regular and Equilateral are correct but not Acute. An acute triangle with angles of 50,60 70 degrees for example, is not regular. An equiangular triangle is the third possible name.
How can you use a reflection to find a missing vertex in a square?
Given three vertices, the two that are the furthest apart lie at the ends of a diagonal. Reflect the square in this diagonal. The third vertex will be where the missing vertex should be.
What is a reuleaux triangle that has a diameter of 1.5mm?
It is a plane shape of constant width = 1.5 mm. You can construct it in two ways:Draw an equilateral triangle with sides of 1.5 mm. From each vertex, draw an arc between the other two vertices; orDraw a circle of radius 1.5 mm. From any point on its circumference draw another circle with the same radius. From one of the points of intersection of the two circles, draw a third. The intersection of the three circles is the required shape.
An isosceles triangle is equilateral?
No, isosceles and equilateral are two separate types of triangles. Isosceles triangles have only two congruent sides, while all three sides of an equilateral triangle are congruent.
What tools or construction is needed to construct an equilateral triangle?
To construct an equilateral triangle, you need a straightedge (ruler without markings) and a compass. First, draw a straight line segment of the desired length for one side of the triangle. Then, use the compass to draw arcs from each endpoint of the segment, with the radius set to the length of the segment, intersecting the arcs to find the third vertex. Finally, connect the vertices to complete the equilateral triangle.
What is the length of the third side of an equilateral triangle have?
The length of the third side of an equilateral triangle is the same as the lengths of both of the other two sides.
What are the measures of all angles in a triangle if 2 sides equal the third side?
If two sides of a triangle are equal in length to the third side, then the triangle is equilateral, and all angles are 60 degrees.
Why does Wiki say that equilateral triangles are isosceles?
An equilateral triangle is a special type of isosceles triangle. It has two equal sides, which makes it isosceles; its third side is also equal, making it equilateral, too.
If two angles in a triangle are congruent to two angles in another triangle what can you conclude about the third angle on both triangles?
Equilateral Triangle
What are the three names of a regular triangle?
Regular, Acute, and Equilateral * * * * * Regular and Equilateral are correct but not Acute. An acute triangle with angles of 50,60 70 degrees for example, is not regular. An equiangular triangle is the third possible name.
How can you use a reflection to find a missing vertex in a square?
Given three vertices, the two that are the furthest apart lie at the ends of a diagonal. Reflect the square in this diagonal. The third vertex will be where the missing vertex should be.
What is a reuleaux triangle that has a diameter of 1.5mm?
It is a plane shape of constant width = 1.5 mm. You can construct it in two ways:Draw an equilateral triangle with sides of 1.5 mm. From each vertex, draw an arc between the other two vertices; orDraw a circle of radius 1.5 mm. From any point on its circumference draw another circle with the same radius. From one of the points of intersection of the two circles, draw a third. The intersection of the three circles is the required shape.
An isosceles triangle is equilateral?
No, isosceles and equilateral are two separate types of triangles. Isosceles triangles have only two congruent sides, while all three sides of an equilateral triangle are congruent.
What are the reasons used in the proof that the equilateral triangle construction actually constructs an equilateral triangle?
The answer to this question is Two segments that are both congruent to a third segment must be congruent to each other All of the radii of a circle are congruent You're welcome.
How is an equilateral triangle an isosceles triangle?
An equilateral triangle, by definition, has three sides of equal length. The definition for an isosceles triangle is that it must have two sides of equal length, the other side being free to have any length. Based on these two definitions, we can say that an equilateral triangle is a special case of the isosceles triangle, namely one where the third side is also equal to the other two sides.
How is an equilateral triangle an isosceles?
An equilateral triangle, by definition, has three sides of equal length. The definition for an isosceles triangle is that it must have two sides of equal length, the other side being free to have any length. Based on these two definitions, we can say that an equilateral triangle is a special case of the isosceles triangle, namely one where the third side is also equal to the other two sides.
