Question

The formula for the area A of a triangle is A=(1/2)bh, where b is the length of the base and h is the height. Rearrange the formula to solve for b and select the correct option below (A) b=A/(2h) (B) b=2Ah (C) b=(1/2)Ah (D) b=2A/h

Answer 1

`b=(2A)/(h)`

Explanation:

The formula for the area of a triangle is given by :

`A=(1)/(2)bh` ...(1)

Where b is the length of the base and h is the height.

We need to find the value of b from the above formula.

Cross multiplying equation (1) we get :

`2A=bh`

Now dividing both sides by h. So,

`(2A)/(h)=(bh)/(h)\\\\b=(2A)/(h)`

So, the correct option is (D) i.e.
`(2A)/(h)`.