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an isosceles triangle can have any vertex angle less than 180 and greater than 0, as long the other two angles are equal. an isosceles triangle with a vertex of 179 degrees would just have the other two angles be 0.5 degrees. A right triangle with matching angles (both 45 degrees) would be both a right triangle and isosceles triangle.
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Is the vertex angle of an isosceles triangle congruent to the base angles?
No, because then it would become an equilateral triangle.
If the vertex of an isosceles triangle equals 40 then the measure of each base angle is?
70
Is this True or false the angle bisector of the vertex angle of an isosceles triangle is also the perpendicular bisector of the base?
True
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.
Can the angle bisector of a triangle also be the perpendicular bisector?
Yes. The bisector of one angle of a triangle is the perpendicular bisector of theopposite side if the bisected angle is the vertex angle of an isosceles triangle,or any angle of an equilateral triangle.
Does isosceles triangle have a vertex angle?
yes they do
What is the angle of an isosceles triangle?
The two angles that are not the isosceles vertex are equal.
Does the angle bisector of the vertex angle of an isosceles triangle divides the triangle into two congruent?
Only if the vertex angle being bisected is between the sides of equal length will the result be two congruent triangles.
The equal angles of an isosceles triangle?
To find the equal angels, base angles, of an isosceles triangle and you know the vertex angle, 180-vertex angle and then divide by two.
The angle opposite the base angles of an isosceles triangle?
Vertex angle
An angle not congruent to the base angles of an isosceles triangle?
The base angles of an isosceles triangle are congruent. The vertex angle of an isosceles triangle is not necessarily congruent to the base angles.
The vertex angle of an isosceles triangle is twice as large as one of the base angles Find the measure of the vertex angle?
90 degrees. This is an isosceles right triangle, standing on its hypotenuse.
What is the side opposite of the vertex angle of an isosceles triangle?
The base
A base angle of an isosceles triangle is 6 degrees more than the vertex angle. Find the vertex angle?
56 degrees
What is the vertex angle on an isosceles triangle?
the top angle the angle formed by the two congruent sides
What are 2 properties of an isosceles triangle?
-- An isosceles triangle has two equal sides. -- An isosceles triangle has two equal angles. -- An isosceles triangle has two equal interior-angle bisectors. -- The bisector of the vertex angle of an isosceles triangle is also the perpendicular bisector of the triangle's base.
Does the altitude to the base of an isosceles triangle bisect the vertex angle?
bob
