Respuesta :

Answer:

The base is 2/3.


Step-by-step 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

Answer:

b = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The formula for the area of a triangle is [tex]\frac{b*h}{2}[/tex]. We fill in what we know.

[tex]\frac{2}{5}[/tex] = [tex]\frac{b*(6/5)}{2}[/tex] --- filled in info

0.4 = [tex]\frac{1.2b}{2}[/tex] --- convert fractions to decimal

0.4 = 0.6b --- simplify fractions

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

b = [tex]\frac{2}{3}[/tex] --- convert to fraction



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