Hence find the lengths of its sides.ORif A- 5, 7), B4, 5), C-1, -6) an

1.	Hence find the lengths of its sides.ORif A- 5, 7), B4, 5), C-1, -6) and D4, 5) are the vertices of a quadrilateral, find the area of thefl for which the quadratic equation kx2+1-2(k-1)x+x2= 0 has equal rootsquadrilateral ABCDlua o
Answer» By joining B to D ,you will get two triangles ABD,BCD. The area of triangle ABD =1/2[-5(-5-5)+(-4)(5-7)+4(7+5) =1/2(50+8+48)=106/2=53 square units.... Also, The area of triangle BCD =1/2[-4(-6-5)-1(5+5)+4(-5+6) =1/2[44-10+4]=19 square units... Area of Triangle ABD + area of triangle BCD so, the area of quadrilateral ABCD=53+19=72 square units..

Hence find the lengths of its sides.ORif A- 5, 7), B4, 5), C-1, -6) and D4, 5) are the vertices of a quadrilateral, find the area of thefl for which the quadratic equation kx2+1-2(k-1)x+x2= 0 has equal rootsquadrilateral ABCDlua o

Answer»

By joining B to D ,you will get two triangles ABD,BCD.

The area of triangle ABD

=1/2[-5(-5-5)+(-4)(5-7)+4(7+5)

=1/2(50+8+48)=106/2=53 square units....

Also,

The area of triangle BCD =1/2[-4(-6-5)-1(5+5)+4(-5+6)

=1/2[44-10+4]=19 square units...

Area of Triangle ABD + area of triangle BCD

so,

the area of quadrilateral ABCD=53+19=72 square units..