Q: Will the perpendicular bisectors of a right triangle always intersect?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

The perpendicular bisectors only intersect on the triangle when it is an isosceles right triangle.

The angle bisectors always intersect inside the triangle. (This is not true for altitudes and right bisectors.)

Yes.

equalateral

No, the angle bisector of a scalene triangle actually intersects at two points, the point between the two points and the vertex formed by two lines of a scalene triangle. * * * * * On an alternative interpretation of the question, the three angle bisectors of any triangle always intersect at a point which is called the incentre.

Related questions

The perpendicular bisectors only intersect on the triangle when it is an isosceles right triangle.

The angle bisectors always intersect inside the triangle. (This is not true for altitudes and right bisectors.)

Yes.

equalateral

sf sf sf

When a circle is drawn around a triangle touching each of its 3 vertices the circumcenter of the triangle is found by drawing 3 perpendicular lines at the midpoint of each of its sides and where these lines intersect within the triangle is its circumcenter.Apex: A. The circumcenter is equidistant from each vertex of the triangle. B. The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides. C. The circumcenter of an obtuse triangle is always outside it.

The three angle bisectors in a triangle always intersect in one point, and this intersection point always lies in the interior of the triangle. The intersection of the three angle bisectors forms the center of the circle in- scribed in the triangle. (The circle which is tangent to all three sides.) The angle bisectors meet at the incenter which has trilinear coordinates.

No, the angle bisector of a scalene triangle actually intersects at two points, the point between the two points and the vertex formed by two lines of a scalene triangle. * * * * * On an alternative interpretation of the question, the three angle bisectors of any triangle always intersect at a point which is called the incentre.

The circumcenter is equidistant from each vertex of the triangle.The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.The circumcenter of a right triangle falls on the side opposite the right angle.The incenter of a triangle is always inside it.The incenter is where all of the bisectors of the angles of the triangle meet.The incenter is equidistant from each side of the triangle

The circumcenter is equidistant from each vertex of the triangle.The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.The circumcenter of a right triangle falls on the side opposite the right angle.The incenter of a triangle is always inside it.The incenter is where all of the bisectors of the angles of the triangle meet.The incenter is equidistant from each side of the triangle

Perpendicular lines always intersect and make 90 degree angles. Parallel lines never intersect with each other.

Yes