I don’t know how to solve this.. can you help?
Question
Answer:
We are given the area, which is 2/5 and the height, which is 6/5 ftThe formula for the area of a triangle is [tex]A=\frac{1}{2}bh[/tex]
So since we are given the area and the height, which is 2/5 and 6/5 for the height, we can plug that information into the area of a triangle equation and then solve for b, which b = base
[tex]A=\frac{1}{b}bh[/tex]
[tex]\frac{2}{5}=\frac{1}{2}b\frac{6}{5}[/tex]
Put 1/2 and 6/5 next to each other and then multiply them.
[tex]\frac{2}{5}=\frac{1}{2}b\frac{6}{5}[/tex]
[tex]\frac{2}{5}=\frac{1}{2}\frac{6}{5}b[/tex]
[tex]\frac{2}{5}=\frac{6}{10}b[/tex]
Reduce 6/10 = 3 / 5
[tex]\frac{2}{5}=\frac{3}{5}b[/tex]
Now times each side of the equation by the reciprocal of 3/5 which is 5 / 3
[tex]\frac{5}{3}\times\frac{2}{5}=\frac{5}{3}\times\frac{3}{5}b[/tex]
[tex]\frac{5}{3}\times\frac{2}{5}=b[/tex]
[tex]\frac{10}{15}=b[/tex]
Reduce 10 / 15
[tex]\frac{2}{3}=b[/tex]
[tex]b = \frac{2}{3}[/tex]
So your answer is C because b = base = 2 / 3
solved
general
11 months ago
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