Question

the formula for the area ( a ) of a triangle is ( a = \frac{1}{2}bh ). solve for ( h ). the options are: (a) ( h = \frac{2a}{b} ) (partial visibility of other options with algebraic expressions for ( h ))

Explanation:

Step1: Start with the area formula

The formula for the area \( A \) of a triangle is \( A = \frac{1}{2}bh \), where \( b \) is the base and \( h \) is the height.

Step2: Solve for \( h \)

Multiply both sides of the equation by \( 2 \) to get rid of the fraction: \( 2A = bh \).
Then divide both sides by \( b \) to isolate \( h \): \( h = \frac{2A}{b} \).

Answer:

\( h = \frac{2A}{b} \) (assuming the option with this expression is the correct one; based on the visible options, it should match the derived formula)