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How can you construct an isosceles triangle if only given the base and the vertical angle and the base angles can not be used for construction?
Wiki User
∙ 11y ago
The answer depends on the level of your knowledge.
Suppose the base is of length b
and the vertical angle is x degrees.
Draw the base, AC, and its perpendicular bisector.
Calculate h = b/[2*tan(x/2)]. That is the height of the triangle so mark this point, B, on the perpendicular bisector.
Draw AB and BC.
Done!
Wiki User
∙ 11y ago
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What is the symmetry of isosceles triangle?
An isosceles triangle has 1 vertical line of symmetry
What type of triangle has only 1 line of symmetry which is vertical?
An isosceles triangle
How many lines of symmetry can be drawn through an isosceles triangle?
The Isosceles triangle only has one possible line of symmetry; and that is through the vortex, AKA: The middle, in a vertical line.
How many vertical lines does a triangle have?
Depends on the orientation of the triangle.
How many lines of symmetry isosceles trapezium have?
It has 1 vertical line of symmetry
What is the symmetry of isosceles triangle?
An isosceles triangle has 1 vertical line of symmetry
What type of symmetry line does an isosceles triangle have?
Vertical.
What type of triangle has only 1 line of symmetry which is vertical?
An isosceles triangle
How would you construct an isosceles triangle if only given the vertex angle and the radius of the circumscribed circle?
You have an isosceles triangle, and a circle that is drawn around it. You know the vertex angle of the isosceles triangle, and you know the radius of the circle. If you use a compass and draw the circle according to its radius, you can begin your construction. First, draw a bisecting cord vertically down the middle. This bisects the circle, and it will also bisect your isosceles triangle. At the top of this cord will be the vertex of your isosceles triangle. Now is the time to work with the angle of the vertex. Take the given angle and divide it in two. Then take that resulting angle and, using your protractor, mark the angle from the point at the top of the cord you drew. Then draw in a line segment from the "vertex point" and extend it until it intersects the circle. This new cord represents one side of the isosceles triangle you wished to construct. Repeat the process on the other side of the vertical line you bisected the circle with. Lastly, draw in a line segment between the points where the two sides of your triangle intersect the circle, and that will be the base of your isosceles triangle.
How many lines of symmetry can be drawn through an isosceles triangle?
The Isosceles triangle only has one possible line of symmetry; and that is through the vortex, AKA: The middle, in a vertical line.
What is the vertical height of a triangle with an area of 48cm2 and a base length of 6cm?
assuming its an isosceles triangle, then its 16 cm high
Is the altitude of a triangle is a segment whose endpoints are a vertex of a triangle and the midpoints of the side opposite the vertex?
Yes but only if it's an equilateral or an isosceles triangle otherwise it's the vertical perpendicular height
How does an isosceles right triangle with vertical axis looks like?
It will look like a right angle triangle with a 90 degree angle and two 45 degree angles and will have one line of symmetry
How many lines of symmetry in an isoceles triangle?
There is only one line of symmetry in an isosceles triangle. If you draw this triangle with the "odd" side as the base and then bisect it with a vertical line, you will have that one line of symmetry. The triangle can be folded in half along this line because each side is a mirror of the other.
If the bisector of the vertical angle of the triangle bisects the base prove that the triangle is isosceles?
show that the bisector of the vertical angle of an isosceles triangle bisects the base
What is a triangle in a math vertical?
It is the triangle's perpendicular altitude
How many vertical lines does a triangle have?
Depends on the orientation of the triangle.
