Question

Find the area
of the quadrilateral
ABCD in which AB=3cm,BC=4cm, CD=4cm,DA=5cm
and AC=
5cm​

Answer 1

Step-by-step explanation:

This question is solved by heron's formula. I hope this solution is helpful to you.

Answer 2

Answer:

In the quadrilateral two triangles namely triangle DAC and triangle ACB will be formed due to the presence of the diagonal AC

So, we can find the total area of the quadrilateral by adding the areas of the two triangles:-

for triangle DAC,by herons formula:-

s=(5+4+5)/2=7

so area of DAC= root over[7×(7-5)×(7-4)×(7-5)]=2× root 21 cm^2

Now for triangle ACB,

s=(5+3+4)/2=6

so area of ACB=root over[6×(6-5)×(6-3)×(6-4)]=6cm^2

therefore total area of the quadrilateral ABCD= area of triangle DAC+ area of triangle ACB= [2×root 21]+(6) cm^2