Question

A (5,8) B. (2,6) c (5,4 ) D(8,6) are vertices of quad abcd
what type of quad is abcd​

Answer 1

Answer:

3

Step-by-step explanation:

Formula:

Area of quadrilateral = area of triangle 1 + area of triangle 2

Area of triangle =  2 1  

[x  1 ​ (y  2  −y  3  )+x  2 ​  

(y  3  −y  1  )+x  3  (y  1  −y  2  )]

Given,  

A(1,2),B(−5,6),C(7,−4),D(k,−2)

Let the first triangle be, ABC

Area of  △ABC=  21  

[1(6−(−4))−5(−4−2)+7(2−6)]

=  2 1 ​  

[10+30−28]

=6sq.units

Area of  △ACD=  2 1

​  

[1(−4+2)+7(−2−2)+k(2+4)]

=  2 1 ​  

[−2−28+6k]

=−15+3 ksq.units

Area of quadrilateral =6−15+3k=0

k=3