Question

find the area of triangle abcd by heron's formula whose sides are AB = 7 cm , bc=6 cm , cd = 12 cm, da= 14cm , ac = 9 cm​

Answer 1

Answer:

A

Step-by-step explanation:

Correct option is

A

(

440

+54) cm

2

By applying heron's formula in triangle ABC having the sides 7 cm,6 cm and 9 cm, we have

s=

2

7+6+9

=11 cm

Area of triangle =

s(s−a)(s−b)(s−c)

=

11(11−7)(11−6)(11−9)

=

440

cm

2

Now, in triangle ADC having sides 15 cm,12 cm and 9 cm, we have

s=

2

15+12+9

=18 cm

=

18(18−15)(18−12)(18−9)

=54 cm

2

There, the area of quadrilateral ABCD=(

440

+54) cm

2