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=(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=(1)/(2)* 33*6`

`A=99\ cm^(2)`

therefore

the answer is

the area of the triangle is equal to
`99\ cm^(2)`