Question

7 sean knows the length of the base, ( b ), and the area, ( a ), of a triangular window in his bedroom. which formula could he use to find the height, ( h ), of this window?

1. ( h = 2a - b )
2. ( h = \frac{a}{2b} )
3. ( h = (2a)(b) )
4. ( h = \frac{2a}{b} )

Explanation:

Step1: Recall the area formula for a triangle

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

Step2: Solve the formula for \( h \)

Start with \( A = \frac{1}{2}bh \). Multiply both sides of the equation by 2 to get rid of the fraction: \( 2A=bh \). Then, divide both sides by \( b \) to solve for \( h \): \( h=\frac{2A}{b} \).

Answer:

1. \( h = \frac{2A}{b} \)