untitled

1 6. Prove that, the difference between any two sides of a triangle is less than the
third.
17. In the adjoining figure, ‘B = 1 right angle and

D is the middle point of the hypotenuse AC of the triangle ABC. Prove that. BD = ½ AC.

18. In the 'ABC,AB > AC and the bisector AD of ‘A intersects BC at D. Prove
    that‘ADBis an obtuse angle.

1 9. Show that, any point on the perpe ndicular bisector of a line segment is
equidistant from the terminal points of that line segment.

2 0. In the right-angled triangle ‘A = 1 right angle and D is the mid point of BC.
a. Draw a triangle ABC with given information.
b. Prove that AB +AC > 2 AD

c. Prove that, AD BC

2

1