Question

Area of quadrilateral abcd is 20 cm2 and perpendiculars on bd from opposite vertices are 1 cm and 1.5 cm. The length of bd i

Answer 1

Answer:

The length of BD is 16 cm

Step-by-step explanation:

Given area of a quadrilateral ABCD is 20 cm² and perpendicular on BD from opposite vertices are 1 cm and 1.5 cm.we have to find the length of BD.

area of quadrilateral ABCD = ar(ΔABD)+ar(ΔBCD)

                                             

1/2 baseBD × hieghtAO + 1/2 baseBD × hieghtCO

         = 1/2BD × 1.5 + 1/2 BD × 1

         = 1/2 BD (1.5 + 1)

          = 1/2 BD × 2.5        

But the area of quadrilateral is  20 cm²

⇒1/2 BD × 2.5 = 20

⇒ BD=16 cm

hope it helps...