A triangle has a base 3cm greater than 5 times its height. what is the area if the triangle when it's height is 6cm
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
\(A=\frac{1}{2}* b*h\)
\(b=3+5h\) ------> equation \(1\)
if the height is \(h=6\ cm\)
then
Find the value of b
substitute in the equation \(1\)
\(b=3+5*6=33\ cm\)
Find the area of the triangle
\(A=\frac{1}{2}* 33*6\)
\(A=99\ cm^{2}\)
therefore
the answer is
the area of the triangle is equal to \(99\ cm^{2}\)