geometry

posted by .

AD is an altitude of an isosceles triangle ABC in which AB=AC. Show that AD bisects BC.

  • geometry -

    The two halves of the triangle are congruent. (Proof: SAS. Side, bisected half angle A/2 and common side are equal)

    Therefore the two lengths BD and DB are equal and BC is bisected.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Geometry

    Do the altitudes of an isosceles triangle go to the midpoints of the opposite sides?
  2. 9th grade

    given that a(-1,8) ,b(2,4) and if the line y=4 is the axis of symmetry of triangle abc find c.show that triangle abc is an isosceles triangle,calculate the area of triangle abc,calculate the perpendicular distance from a to bc
  3. Geometry

    in triangle ABC, BD bisects <ABC, <ABD = 4x + 6 and m<DBC = 5x -5. find the m<abc
  4. Geometry - semicircle inside isosceles triangle

    Isosceles triangle ABC has sides of length AB=AC=25 and BC=40 . Find the area of a semicircle inscribed in triangle ABC with diameter along BC . Please help I do not know how to start....
  5. maths

    Abc is a triangle where ad bisects angle a and d is the midpoint of bc prove that triangle is isosceles
  6. Geometry

    Let ABC be any triangle. Equilateral triangles BCX, ACY, and BAZ are constructed such that none of these triangles overlaps triangle ABC. a) Draw a triangle ABC and then sketch the remainder of the figure. It will help if (triangle) …
  7. Geometry

    In triangle ABC, AD bisects angle A, BD=4 and CD=5. The perimeter of triangle ABC is 29. Find the lengths of AB and AC.
  8. math

    In isosceles right triangle ABC, point D is on hypotenuse BC such that AD is an altitude of triangle ABC and DC = 5. What is the area of triangle ABC?
  9. Math

    In a diagram of an 2 isosceles triangles, where ABC is a big triangle and a ADE, is just inside the top portion of ABC. Isosceles triangle ABC is similar to a isosceles triangle ADE what is the length of DE, which is the base part …
  10. geometry

    prove in an isosceles triangle ABC,in which AB=AC and AD is the altitude,AD is also: i-median ii-bisector<A.

More Similar Questions