Question

area of triangle =?

Explanation:

Step1: Identify the triangle's base and height

From the diagram, the base \( AB = 6 \, \text{cm} \), and the height of the triangle (from \( C \) to \( AB \)) is equal to the side length of the square (since \( ABCD \) is a square, \( AB = BC = 6 \, \text{cm} \), and the height for triangle \( ABC \) or \( AOC \) related to base \( AB \) is the same as the side of the square).

Step2: Use the triangle area formula

The formula for the area of a triangle is \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \). Here, base \( = 6 \, \text{cm} \), height \( = 6 \, \text{cm} \).
So, \( \text{Area} = \frac{1}{2} \times 6 \times 6 \)

Step3: Calculate the area

\( \frac{1}{2} \times 6 \times 6 = 18 \, \text{cm}^2 \)

Answer:

The area of the triangle is \( 18 \, \text{cm}^2 \)