Respuesta :

Answer:

The length of the base is [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Since we know the formula to find the area of a triangle is [tex]A = \frac{1}{2} bh[/tex], we can plug in and solve for b. When we plug into the formula we get:

[tex]\frac{1}{2} (\frac{1}{5} )b[/tex] = [tex]\frac{3}{40}[/tex]

First multiply by 2 on both sides to get rid of the 1/2 on the left. After doing this we get:

[tex]\frac{1}{5}b = \frac{3}{20}[/tex]

Then we can multiply by 5 on both sides to get rid of the 1/5 on the left. After doing this we get out answer:

[tex]b = \frac{3}{4}[/tex]

the length of the base is 3/4 inch.

A=1/2bh
3/40=1/2b(1/5)
3/40=1/10b
multiply both sides by 10
3/4=b