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

Answer:

$b=\dfrac{2A}{h}$

Step-by-step explanation:

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

$A=\dfrac{1}{2}bh$ ...(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,

$\dfrac{2A}{h}=\dfrac{bh}{h}\\\\b=\dfrac{2A}{h}$

So, the correct option is (D) i.e. $\dfrac{2A}{h}$.