Answer:
A= 75.06 Sq Cm
Step-by-step explanation:
Please refer to the picture attached with this.
In ΔABD
AB = 8.5 , AD = 6 and say BD = x
Applying Pythagoras theorem in this triangle
Pythagoras theorem says
[tex]a^2+b^2=c^{2}[/tex]
where c is the side opposite to the right angle, and b and a are the other two sides of the right angled triangle.
[tex]x^2+6^2=8.5^{2}[/tex]
[tex]x^2=72.25-36[/tex]
[tex]x^2=36.25[/tex]
[tex]x=6.02[/tex]
Hence side [tex]a = x +19[/tex]
a = 6.02+19
a = 25.02
Now we apply the formula for area of a triangle which is given as
[tex]A=\frac{1}{2}\times b \times h[/tex]
Where b is the base , here we have base as a = 25.02
h is the height , here h = 6
Putting these values in Formula we get
[tex]A=\frac{1}{2}\times 25.02 \times 6[/tex]
[tex]A= 25.02 \times 3[/tex]
[tex]A=75.06[/tex]
Hence Area of the triangle is 75.06 sq cm
