Question

area of a quadrilateral is 144 CM square the length of one of its diagonal on which two perpendicular drawn from opposite vertices is 24 cm long one of the perpendicular is double from the other find the length of its perpendicular who gave correct answer i follow him /her​

Answer 1

Step-by-step explanation:

[Figure is in the attachment]

Solution:

Given :

Area of quadrilateral ABCD= 342 m²

BE= 12 m , DF= 12 m

Let ABCD be a quadrilateral & AC be one of its diagonal.

BE perpendicular AC & DF perpendicular AC

Area of quadrilateral ABCD= ar∆ABC + ar∆ADC

Area of quadrilateral ABCD= 1/2×AC×BE + 1/2×AC×DF

342= 1/2AC(BE+DF)

342 = 1/2×AC (12+12)

342×2= 24AC

AC= (342×2)/24

AC = 342/12= 28.5 m

Hence, the length of the diagonal is 28.5 m

==================================================================

Hope this will help you..