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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

Respuesta :

Answer:

[tex]b=\dfrac{2A}{h}[/tex]

Step-by-step explanation:

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

[tex]A=\dfrac{1}{2}bh[/tex] ...(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 :

[tex]2A=bh[/tex]

Now dividing both sides by h. So,

[tex]\dfrac{2A}{h}=\dfrac{bh}{h}\\\\b=\dfrac{2A}{h}[/tex]

So, the correct option is (D) i.e. [tex]\dfrac{2A}{h}[/tex].

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