Question

the triangle shown below has an area of 16 units².
find the missing length.
x = units

Explanation:

Step1: Write the formula for the area of a triangle

The area formula for a triangle is \( A=\frac{1}{2}\times base\times height \). Here, the base is \( 4 \) and the height is \( x \), and \( A = 16 \). So, \( 16=\frac{1}{2}\times4\times x \).

Step2: Simplify the equation

First, simplify \( \frac{1}{2}\times4 = 2 \). The equation becomes \( 16 = 2x \).

Step3: Solve for \( x \)

Divide both sides of the equation \( 16 = 2x \) by \( 2 \). We get \( x=\frac{16}{2} \).

Answer:

\( 8 \)