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The formula for the area of a triangle is A=bh2



Which equation show the formula in terms of b?

(1 point)
Responses

h=2Ab
h is equal to 2 cap A over b

b=h2A
b is equal to h over 2 cap A

b=2Ah
b is equal to 2 cap A over h

h=b2A

1 answer

To solve for \( b \) in the formula for the area of a triangle, which is given by \( A = \frac{1}{2}bh \), we can manipulate the equation as follows:

  1. Start with the original formula: \[ A = \frac{1}{2}bh \]

  2. To eliminate the fraction, multiply both sides by 2: \[ 2A = bh \]

  3. Now, solve for \( b \) by dividing both sides by \( h \): \[ b = \frac{2A}{h} \]

Therefore, the equation that shows the formula in terms of \( b \) is: \[ b = \frac{2A}{h} \]

So the correct response is: b = 2A/h (b is equal to 2 cap A over h).