Question

The area of the triangle is 2/5 square foot

Using the formula A=1/2bh determine the length,in feet of the base of the triangle

Answer 1

area=1/2bh
solveifn for b
times 2 both sides and divide by h
2area/h=b
given
area=2/5
h=6/5

(2*2/5)/(6/5)=b
(4/5)/(6/5)=b
(4/5)(5/6)=b
(20/30)=b
2/3=b
base=2/3ft

Answer 2

`(2)/(3)` feet.

Explanation:

We have been given that area of a triangle is
`(2)/(5)\text{ ft}^2`. We are asked to find the length of the base of the triangle.

`A=(1)/(2)bh`, where,

A= Area of the triangle,

b = Base of the triangle,

h = height of the triangle.

Upon substituting our given values in are of triangle formula we will get,

`(2)/(5)=(1)/(2)*b*(6)/(5)`

`(2)/(5)=b*(3)/(5)`

Upon multiplying both sides of our equation by 5/3 we will get,

`(2)/(5)*(5)/(3)=b*(3)/(5)*(5)/(3)`

`(2)/(3)=b`

Therefore, the length of the base of our given triangle will be
`(2)/(3)` feet.