Question

the triangle shown below has an area of 22 units². find the missing length. x = in

Explanation:

Step1: Recall the area formula for a triangle

The area \( A \) of a triangle is given by \( A=\frac{1}{2}\times\text{base}\times\text{height} \). Here, the base is 4 and the height is \( x \), and the area \( A = 22 \).

Step2: Substitute the known values into the formula

Substitute \( A = 22 \) and base \( = 4 \) into the formula: \( 22=\frac{1}{2}\times4\times x \).

Step3: Simplify and solve for \( x \)

First, simplify \( \frac{1}{2}\times4 = 2 \), so the equation becomes \( 22 = 2x \). Then, divide both sides by 2: \( x=\frac{22}{2}=11 \).

Answer:

11