Question

AC is one of the diagonals of qudrilateral
ABCD. BM and DN are the altitudes
on AC from B and D respectively. If
AC = 18 cm, BM = 10 cm and DN = 6 cm,
then ar (ABCD) = .........
... cm.​

Answer 1

your question is wrong

Answer 2

Answer:

Area of quadrilateral is 144 cm2.

Step-by-step explanation:

Area of ∆ ABC

Base = AC = 18 cm

Height = BM = 10cm

Area of ∆ABC = 1/2 ×B × H

= 1/2 × AC × BM

= 1/2 × 18 × 10

= 90 cm2

Area of ∆ADC

Base = AC = 18cm

Height = DC = 6 cm

Area of ∆ADC = 1/2 × AC × DN

= 1/2 × 18 × 6

= 54 cm2

Therefore

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

= 90 +54

= 144 cm2

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