Question

the triangle shown below has an area of 75 units². find the missing length. x = units

Explanation:

Step1: Recall triangle area formula

The area of a triangle is given by \( A = \frac{1}{2} \times \text{base} \times \text{height} \).

Step2: Identify base and height

From the diagram, the base is 10 units and the height is \( x \) units, and the area \( A = 75 \) units².

Step3: Substitute into formula

Substitute the known values into the formula: \( 75 = \frac{1}{2} \times 10 \times x \).

Step4: Simplify and solve for \( x \)

First, simplify \( \frac{1}{2} \times 10 = 5 \), so the equation becomes \( 75 = 5x \). Then, divide both sides by 5: \( x = \frac{75}{5} = 15 \).

Answer:

15