Question

The area of the quadrilateral is 900 sq. cm. The perpendiculars from opposite vertices on the diagonal are 10cm and 8cm. Find the length of the diagonal.


plz help

Answer 1

Step-by-step explanation:

Area of quardrilateral =

$1 \div 2 \times diagonal (height1 + height2)$

height1 = 10cm , height2 = 8cm , Area = 900 sq. cm

1

$1 \div 2 \times d(10cm + 8cm) = 900 \: {cm}^{2}$

$d(18cm) = 900 {cm}^{2} \times 2$

$diagonal = 1800 {cm}^{2} \div 18 cm$

$therefore \: diagonal \: of \: the \: quadrilateral \: is \: 100cm$