Question

I don’t know how to solve this.. can you help?

Answer 1

We are given the area, which is 2/5 and the height, which is 6/5 ft

The formula for the area of a triangle is
`A=(1)/(2)bh`

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


`A=(1)/(b)bh`

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

Put 1/2 and 6/5 next to each other and then multiply them.

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

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

`(2)/(5)=(6)/(10)b`

Reduce 6/10 = 3 / 5

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

Now times each side of the equation by the reciprocal of 3/5 which is 5 / 3

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

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

`(10)/(15)=b`
Reduce 10 / 15

`(2)/(3)=b`

`b = (2)/(3)`

So your answer is C because b = base = 2 / 3