Question

find the area of the shaded region​

Answer 1

hope it helps you........

Answer 2

Step-by-step explanation:

To find Area of shaded region , you need to subtract area of ADB from Area of ABC.

Therefore, ABD is Right angled, So

AB = Hypotenuse= H

BD = Base = 5 cm

AD = Perpendicular/Altitude = 12cm

So, H^2 = A^2 + B^2

=> H^2 = (12)^2 + (5)^2

=> H^2 = 144 +25

=> H^2 = 169

=> H =

$\sqrt{169}$

H = 13.

Area of ∆ABD =1/2 ×B×H

=> 1/2× 5×12

=> 30cm^2

Now Area of ∆ Abc = 1/2 B× H

=> 1/2×12×14 ( taking Bc as Base)

=> 84Cm^2.......(i)

=> 1/2×12×15 ( taking Ac as Base )

=> 180/2

=90Cm^2......(ii)

=> 1/2×12×13 (Taking Ab as Base)

=> 156/2

=> 78Cm^2....(iii)

Now Area Of Shaded Region= Area of ABC - Area

of ABD

=> 84 - 30 = 54cm^2 (using i )

=> 90-30 = 60 cm^2 ( using ii)

=> 78-30 = 48 cm^2 ( using iii)

I Have given you three answers. Write any one from them which most suitable according to you..

I recommend you to go with (i) because Using Heron formula the answer is 54..

For Altitude go to Omni Calculator..

Hope It Helps You .... :)