1) If the longer base of an isosceles trapezium equals a diagonal and the shorter base equals the altitude, prove that the ratio of the shorter base to the longer base is 3 : 5
2) In a triangle ABC, the in-circle touches the sides BC, CA and AB at D, E and F respectively. If the radius of the in-circle is 4 units and if BD, CE and AF are consecutive integers, find AB, BC and CA.
I'll give a hint for the second one:
Use BD = x - 1, CE = x, AF = x + 1
Area of triangle = (1/2) * (In-radius) * (Perimeter)
2007-08-31
02:37:02
·
2 answers
·
asked by
Akilesh - Internet Undertaker
7