Question

The area lf the triangle is 2/5.The height is 6/5, what is the base, in fraction form?

Answer 1

b =
`(2)/(3)`

Explanation:

The formula for the area of a triangle is
`(b*h)/(2)`. We fill in what we know.

`(2)/(5)` =
`(b*(6/5))/(2)` --- filled in info

0.4 =
`(1.2b)/(2)` --- convert fractions to decimal

0.4 = 0.6b --- simplify fractions

b = 0.6666666... --- divide both sides by 0.6

b =
`(2)/(3)` --- convert to fraction

Answer 2

The base is 2/3.

Explanation:

Recall that the area of a triangle of base b and height h is given by:

A = (1/2)(base)(height). If we solve this for (base), we get 2A/(height).

Here, (base) =

2(2/5) 4/5

----------- = ------- = 4/6 = 2/3 (answer)

6/5 6/5