Question

please step by step solution​

Answer 1

Answer:

We know that

area of triangle = 1/2*base*height

now

In triangle ABD,

it's height is 5.5cm and base is 10+8= 18 cm

now

Area of triangle = 1/2*b*h

=> 1/2*18*5.5

=> 49.5cm^2

Hence, area of triangle ABD = 49.5 cm^2

Step-by-step explanation:

If you understand then mark my answer as a Brainlist answer

Answer 2

Answer: 74.25 $cm.^{2}$

PLEASE  MARK  MY  ANSWER  AS  BRAINLIEST  !

Step-by-step explanation:

In △ABD , using pythagorous theorem

AD = ( 10 + 8 ) cm. => 18 cm.

$(BD)^{2} +(AB)^{2} =(AD)^{2} \\(AB)^{2} =(AD)^{2} -(BD)^{2} \\AB=\sqrt{(18)^{2}-(15)^{2} }\\AB=\sqrt{3^{2}(36-25) } \\AB=3\sqrt{11} cm.$

area ( △ ABD ) = $\frac{1}{2} * base*height$

=>   $\frac{1}{2} *3\sqrt{11}*15$

=>   $\frac{1}{2} *9.9*15$

=>   $7.5*9.9$

=>   74.25 $cm.^{2}$