Question

Dorian the quadrilateral is 180 cm square the length of the perpendicular drawn from the opposite vertices of the diagonals are 6 cm and 14 cm respectively find the length of the diagonal

Answer 1

Now Let us Divide Dorian Into two Triangles along The Diagonal.

Given Total Area of Dorian=180cm²
let Diagonal Be d

in terms of Triangle,
Area={b×h}/2

Here Base is Same =d and height,h is Given.


So 180cm²=6×d/2 + 14×d/2
→180=3d+7d
→180=10d
→Length of Diagonal,d of Dorian=180/10=18cm


Hope it helps...
Regards,
Leukonov

Answer 2

Length of Diagonal = 18 cm

Step-by-step explanation:

Area of Quadrilateral = 180 cm²

Diagonal will divide Quadrilateral into rwo triangle

Area of Quadrilateral = Area of two triangles formed by Diagonal

Let say Diagonal Length = D cm

Area of one traingle = (1/2) * D * 6 = 3D cm²

Area of Secong triangle = (1/2) * D * 14 = 7D cm²

Area of Quadrilateral = 3D + 7D = 10D cm²

10D  = 180

=> D = 18

Length of Diagonal = 18 cm

Learn more:

the area of a quadrilateral is 360 m square and the perpendicular ...

https://brainly.in/question/2561718

Find the area of the quadrilateral ABCD in which AB=9cm , BC ...

https://brainly.in/question/9157980