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The formula for the area of a triangle is A= bh/2

.

Which equation shows the formula in terms of b?

(1 point)
Responses

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

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

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

h= b/2A

1 answer

To rearrange the formula for the area of a triangle, \( A = \frac{bh}{2} \), in terms of \( b \):

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

  2. Multiply both sides by 2 to eliminate the fraction: \[ 2A = bh \]

  3. Now, to isolate \( b \), divide both sides by \( h \): \[ b = \frac{2A}{h} \]

So the equation in terms of \( b \) is: \[ b = \frac{2A}{h} \]

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