Question

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

Explanation:

Step1: Recall the area formula for a triangle

The area formula for a triangle is \( A=\frac{1}{2}\times base\times height\). Here, \(A = 24\) units², height \(h = 4\) units, and base \(b=x\).

Step2: Substitute the values into the formula

Substitute \(A = 24\), \(h = 4\) into \(A=\frac{1}{2}\times b\times h\). We get \(24=\frac{1}{2}\times x\times4\).
Simplify the right - hand side: \(\frac{1}{2}\times4x = 2x\). So the equation becomes \(24 = 2x\).

Step3: Solve for \(x\)

Divide both sides of the equation \(24 = 2x\) by 2. \(\frac{24}{2}=\frac{2x}{2}\).

Answer:

\(x = 12\) units