Question

The area of the quadrilateral is 180 cm². The length of the perpendiculars drawn from the opposite vertices on the diagonals are 6 cm and 14 cm respectively. Find the length of the diagonal.​

Answer 1

Answer:

Step-by-step explanation:

(p∨q)↔q. =((p∨q)→q)∧((p∨q)←q) ... 1 Down vote. You got this far: p∨q≡(∼p∨q)∧(p∨q). Use distributivity: p∨q≡(∼p∧p)∨q.

Answer 2

Answer:

Step-by-step explanation:

Given :

The area of the quadrilateral is 180 cm². The length of the perpendiculars drawn from the opposite vertices on the diagonals are 6 cm and 14 cm respectively. Find the length of the diagonal.​

To find:

Find the length of the diagonal.​

Solution :

Area of Quadrilateral = Area of two

triangles formed by Diagonal

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