A perpendicular drawn from a vertex to the opposite side of a triangle is known as (a) an altitude     (b) a median        (c)  an angle bisector (d) a bisector

Altitudes the perpendiculars drawn from the vertices of a triangle to the opposite side are known as the altitudes of the triangle.

Line segments joining the vertices to the mid-points of the opposite sides to a triangle are known as (a) medians (b) altitudes (c) heights (d) angle bisectors

Show that the perpendicular bisectors of the sides of a triangle are concurrent.

Theorem 6.7 : If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse then triangles on both sides of the perpendicular are similar to the whole triangle and to each other.

If the bisector of an angle of a triangle bisects the opposite side, prove that the triangle is isosceles.

Let 'l' is the length of median from the vertex A to the side BC of a Delta ABC . Then

If the altitude from one vertex of a triangle bisects the opposite side, then the triangle is isosceles. GIVEN : A A B C such that the altitude A D from A on the opposite side B C bisects B C i.e., B D=D Cdot TO PROVE : A B=A C i.e. the triangle A B C is isosceles.

If the sides of triangle ABC are such that a=4 b=5,c=6, then the ratio in which incentre divide the angle bisector of B is

Prove that the bisectors of opposite angles of a parallelogram are parallel.

Which of the following statements are true (T) and which are false (F): Side opposite to equal angles of a triangle may be unequal. Angle opposite to equal sides of a triangle are equal. The measure of each angle of an equilateral triangle is 60^0 If the altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles. The bisectors of two equal angles of a triangle are equal. If the bisector of the vertical angle of a triangle bisects the base, then the triangle may be isosceles. The two altitudes corresponding to two equal sides of a triangle need not be equal. If any two sides of a right triangle are respectively equal to two sides of other right triangle, then the two triangles are congruent. Two right triangles are congruent if hypotenuse and a side of one triangle are respectively equal to the hypotenuse and a side of the other triangle.