Question

Write the equation for the area of a triangle with a height that is 5 more than twice its base using one variable. Please help mee this is my last question

Answer 1

`A=b(b+(5)/(2) )`

Explanation:

hey there!!!

we know already that the area of a triangle is given as

`A=(1)/(2)b *h`

where b= base

and h= heigth

Given that the height is 5 times more than twice it base

let h= 2b+5

Now we substitute h=2b+5 in the area of the triangle

`A=(1)/(2)b * (2b+5)`

`A= (2b^2)/(2) +(5b)/(2)`

`A= b^2+(5b)/(2)\\\\A=b(b+(5)/(2) )`