Question

the triangle shown below has an area of 10 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 base is 4 units and the height is \( x \) units, and the area \( A = 10 \) units².

Step2: Substitute values into formula

Substitute \( A = 10 \), base \( = 4 \), and height \( = x \) into the formula: \( 10 = \frac{1}{2} \times 4 \times x \).

Step3: Simplify and solve for \( x \)

First, simplify \( \frac{1}{2} \times 4 = 2 \), so the equation becomes \( 10 = 2x \). Then, divide both sides by 2: \( x = \frac{10}{2} = 5 \).

Answer:

5