Let
b--------> the length of the base of a triangle
h--------> the length of the height of a triangle
we know that
The area of a triangle is equal to
[tex] A=\frac{1}{2}* b*h[/tex]
[tex] b=3+5h [/tex] ------> equation [tex] 1 [/tex]
if the height is [tex] h=6\ cm[/tex]
then
Find the value of b
substitute in the equation [tex] 1 [/tex]
[tex] b=3+5*6=33\ cm [/tex]
Find the area of the triangle
[tex] A=\frac{1}{2}* 33*6[/tex]
[tex] A=99\ cm^{2} [/tex]
therefore
the answer is
the area of the triangle is equal to [tex] 99\ cm^{2} [/tex]
