Question

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

Answer 1

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 $99\ cm^{2}$

Answer 2

99cm.

5x6=30+3=33
33x6=198
198/2=99