If the base of an isosceles triangle is produced on both sides, prove that the exterior angles so formed are equal to each other.

The side B C of a triangle A B C is produced on both sides. Show that the sum of the exterior angles so formed is greater than /_A by two right angles.

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

If a line is drawn parallel to the base of an isosceles triangle to intersect its equal sides, prove that the quadrilateral, so formed is cyclic.

The side B C of a A B C is produced on both sides. Show that the sum of the exterior angles so formed is greater than /_A by two right angles.

The side B C of a A B C is produced on both sides. Show that the sum of the exterior angles so formed is greater than /_A by two right angles.

If the sides of a triangle are produced in order, then the sum of the three exterior angles so formed is (a) 90^0\ (b) 180^0 (c) 270^0 (d) 360^0

If the side B C of A B C is produced on both sides, then write the difference between the sum of the exterior angles so formed and /_A .

Show that in an isosceles triangle, angles opposite to equal sides are equal.

The base of an isosceles triangle is 16 cm. If both the equal sides be 17 cm each, find the area of the triangle.

(Exterior Angle Theorem): If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two interior opposite angles. GIVEN : A triangle A B C,D is a point of B C produced, forming exterior angle /_4. TO PROVE : /_4=/_1+/_2 i.e. , /_A C D=/_C A B+/_C B Adot