Question

a triangle ABC is drawn to circumscribe a circle of radius 2cm such that line segment BC andDC into which BC is divided by a point of contact D are length 4and3cm respectively if area of ABC is21 CM square find side AB andBce

Answer 1

AB=4+x, BC=7, AC=X+3 ,0D=0E=0F=2 (RADIUS) AREA ABC=ABO+ACO+BCO  =1/2*7*2 +1/2*(4+X) +1/2*(3+X) =14 +2X
S=7+X, SO AREA BY HERONS IS (Area) =[7+x) x*3*4]1/2
so x +7/2 =3.5