Question

the triangle shown below has an area of 24 units². find the missing length. x = \boxed{} units

Explanation:

Step1: Recall triangle area formula

The area of a triangle is given by \( A = \frac{1}{2} \times \text{base} \times \text{height} \). Here, the area \( A = 24 \) units² and the height is \( 4 \) units, and the base is \( x \). So we substitute into the formula: \( 24=\frac{1}{2}\times x\times4 \).

Step2: Simplify the equation

Simplify the right - hand side of the equation: \( \frac{1}{2}\times4\times x = 2x \). So the equation becomes \( 24 = 2x \).

Step3: Solve for x

To solve for \( x \), we divide both sides of the equation \( 24 = 2x \) by \( 2 \). So \( x=\frac{24}{2}=12 \).

Answer:

\( 12 \)