Question

What is the area of triangle ALC in the figure given below?

• A. 2.5
• B. 3
• C. 3.5
• D. 4
• E. 4.5

Hint:

The area of a triangle is half the product of the base and height.

Answer 1

The Correct Option is C

Step 1: Find the area of the triangle.
The area of a triangle is given by: \[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height}. \] From the diagram, the base of triangle ALC is \( 7 \) and the height is \( 3 \). Thus, the area is: \[ \text{Area} = \frac{1}{2} \times 7 \times 3 = 10.5. \]
Step 2: Conclusion.
So, the area of triangle ALC is \( 3.5 \).