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Which type of triangle will always have a perpendicular bisector that is also an angle bisector?
An isosceles triangle will always have a perpendicular bisector that is also an angle bisector. In an isosceles triangle, the two sides are of equal length, and the perpendicular bisector of the base (the unequal side) also divides the vertex angle into two equal angles, thus serving as an angle bisector as well.
What is the relationship between segment EB and segment FB in the construction of an angle bisector?
In the construction of an angle bisector, segment EB is equal in length to segment FB when the bisector is drawn from the vertex of the angle to the opposite side. This is because the angle bisector divides the angle into two equal parts, and the segments on either side of the bisector are proportional to the adjacent sides of the angle. Therefore, EB and FB maintain a specific ratio that reflects the lengths of the other two sides of the triangle formed.
What do you call the intersection of a triangle angle bisector?
triangles angle bisector is called incenter..
What is the measure of an angle in a right angled triangle found by dividing the length of the side adjacent to the angle by the length of the hypothenuse?
cosine
In a right triangle the of an angle is the length of the opposite side divided by the length of the adjacent side.?
Yes because tangent = opposite/adjacent
Which type of triangle will always have a perpendicular bisector that is also an angle bisector?
An isosceles triangle will always have a perpendicular bisector that is also an angle bisector. In an isosceles triangle, the two sides are of equal length, and the perpendicular bisector of the base (the unequal side) also divides the vertex angle into two equal angles, thus serving as an angle bisector as well.
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.
What is the relationship between segment EB and segment FB in the construction of an angle bisector?
In the construction of an angle bisector, segment EB is equal in length to segment FB when the bisector is drawn from the vertex of the angle to the opposite side. This is because the angle bisector divides the angle into two equal parts, and the segments on either side of the bisector are proportional to the adjacent sides of the angle. Therefore, EB and FB maintain a specific ratio that reflects the lengths of the other two sides of the triangle formed.
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.
What is the definition of secant-tangent angle?
The secant of an angle in a right triangle is the hypotenuse divided by the adjacent side. The tangent angle of a right triangle is the length of the opposite side divided by the length of the adjacent side.
What do you call the intersection of a triangle angle bisector?
triangles angle bisector is called incenter..
What is the measure of an angle in a right angled triangle found by dividing the length of the side adjacent to the angle by the length of the hypothenuse?
cosine
In a right triangle the of an angle is the length of the opposite side divided by the length of the adjacent side.?
Yes because tangent = opposite/adjacent
How is constructing a perpendicular bisector different to constructing an angle bisector?
A perpendicular bisector is a straight line that divides a side of a triangle in two and is at right angles to that side. An angle bisector is a straight line that divides an angle of a triangle in two.
A ray that divides an angle into two adjacent angles that are congruent?
Angle bisector
What ratio relates the length of the leg opposite the angle in question to the length of the leg adjacent to the angle?
This ratio is the tangent of the angle.If the triangle is a right angled triangle and the angle in question is not the right angle, then it is the tangent of the angle in question.
Does an angle bisector in a triangle divides the opposite side into two segments whose lengths are in the same ratio as the corresponding adjacent angles?
An angle is formed by two rays with a common endpoint. The angle bisector is a ray or line segment that bisects the angle, creating two congruent angles.
