Question

find the area of eqadrilateral ABCD vertices are A( -4,-2), B(-3, -5), C(3, -2), D(2, 3)​

Answer 1

Step-by-step explanation:

Let A(-4,-2) , B(-3,-5) ,C(3,-2) , D(2,3)

Join diagonal BD

In triangle ABD

By using formula

1÷2(x1(y2-y3)+x2(y3-y1)+x3(y1-y2)

Put x1=-4 ,x2=-3, x3=2 and y1= -2 , y2=-5 ,y3=3

Then we get triangle ABD=11.5.

Similarly in triangle BCD by using formula put x1=-3,x2=3,x3=2 and y1 =-5,y2=-2, y3=3

We ge triangle BCD= 16.5

Area of quadrilateral ABCD=11.5+16.5

=28.0 means 28.

Answer 2

Answer:

In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.